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Sitnik, Sergei Mikhailovich

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in MathSciNet: 67 (64)
in zbMATH: 49 (47)
in Web of Science: 51 (51)
in Scopus: 61 (60)
Sitnik, Sergei Mikhailovich
Professor
Doctor of physico-mathematical sciences (2016)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 24.01.1961
E-mail: ,
Keywords: inequalities, integral operators, transmutations, special functions, numerical methods, approximation of functions.
UDC: 517.926.4, 517.968.25

Subject:

1. Transmutation operators.
2. Integral operators with special function kernels.
3. Classical inequalities.
4. Special functions and their inequalities.

   
Main publications:
  1. Elina Shishkina, Sergei Sitnik, Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, Mathematics in Science and Engineering, Elsevier. Academic Press, 2020 , 592 pp. https://www.elsevier.com/books/transmutations-singular-and-fractional-differential-equations-with-applications-to-mathematical-physics/shishkina/978-0-12-819781-3  crossref  mathscinet  zmath  scopus
  2. V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus
  3. S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
  4. Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207 https://doi.org/10.48550/arXiv.2210.02246  mathnet  crossref  mathscinet  adsnasa
  5. S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “On the Correctness of Finite-Rank Approximations by Series of Shifted Gaussians”, Lobachevskii Journal Of Mathematics, 41:3 (2020), 423-429 https://link.springer.com/article/10.1134/S1995080220030166, arXiv: 2007.02694  crossref  mathscinet  zmath  adsnasa  isi  scopus
  6. Fitouhi A., Jebabli I., Shishkina E.L., Sitnik S.M., “Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electron. J. Differential Equations, 2018 (2018), 130 , 27 pp. https://ejde.math.txstate.edu/Volumes/2018/130/abstr.html, arXiv: https://arxiv.org/abs/1805.06925}{https://arxiv.org/abs/1805.06925}  mathscinet  zmath  adsnasa  isi  scopus
  7. S. M. Sitnik, Kh. Mehrez, “Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions”, Analysis (De Gruyter), 36:4 (2016), 263–268 https://www.degruyter.com/view/j/anly.2016.36.issue-4/anly-2015-0029/anly-2015-0029.xml?format=INT  crossref  mathscinet  zmath  scopus
  8. S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864  adsnasa
  9. D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1  crossref  mathscinet  zmath  isi  scopus
  10. Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28  mathnet  mathscinet  zmath  isi
  11. S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330  mathnet  mathscinet  zmath  isi; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646  mathscinet  zmath
  12. Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470  mathnet  mathscinet  mathscinet  mathscinet  zmath  isi

https://www.mathnet.ru/eng/person24946
https://scholar.google.com/citations?user=vz_M35AAAAAJ&hl=en
https://zbmath.org/authors/ai:sitnik.sergei-mihailovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/223606
https://elibrary.ru/author_items.asp?spin=2435-8212
https://orcid.org/0000-0001-9661-4338
https://publons.com/researcher/AAF-9622-2020
https://www.scopus.com/authid/detail.url?authorId=16239892700
https://www.researchgate.net/profile/Sergei_Sitnik
https://arxiv.org/a/sitnik_s_1

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. Math. Notes, 115:5 (2024), 789–799 , Translated from Prikladnaya Matematika i Fizika, 2023, Vol. 55, No. 3, pp. 248–257 https://doi.org/10.52575/2687-0959-2023-55-3-248-257.  mathnet  crossref  isi  scopus
2. S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, Functional spaces. Differential operators. Problems of mathematics education, CMFD, 70, no. 1, PFUR, M., 2024, 173–187  mathnet  crossref
3. Khaled Mehrez, Kamel Brahim, Sergei M. Sitnik, “Class of bounds of the generalized Volterra functions”, Mathematica Slovaca, 74:2 (2024), 173–187 , Published by De Gruyter https://www.degruyter.com/document/doi/10.1515/ms-2024-0028/html  crossref  isi  scopus
4. Sergey Sitnik, Khitam Alzamili, Abdul Qudosi & Elina Shishkina, “Vekua-Erdelyi-Lowndes Type Transmutation and Applications”, Journal of Mathematical Sciences, 281:6 (2024), 938–945  crossref  mathscinet  scopus
5. Sergey Sitnik, Oksana Skoromnik, “Multi-Dimensional Integral Transform with Fox Function in Kernel in Lebesgue-Type Spaces”, Mathematics, MDPI, 12:12, This article belongs to the Special Issue Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators, Guest Editor - N.P. Bondarenko (2024), 1829 , 10 pp. https://www.mdpi.com/2227-7390/12/12/1829, arXiv: https://www.preprints.org/manuscript/202404.0536/v1  crossref  isi  scopus
6. S. M. Sitnik, “O dzeta funktsiyakh po V.A.Sadovnichemu, postroennym po nulyam funktsii Besselya.”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk». K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego : Tezisy dokladov (Moskva, MGU, 1-2 aprelya 2024 g.), eds. Org. komitet: V. A. Sadovnichii, A. I. Shafarevich, I. A. Sokolov [i dr.]., Izdatelstvo Moskovskogo universiteta, 2024, 245–246 https://disk.yandex.ru/i/YJ84z2l1UMrIjQ
7. S. M. Sitnik, “On Absolutely Monotonic Functions And Some Inequalities for Special Functions”, Global and Stochastic Analysis, 11:4 (2024), 94–102 https://www.mukpublications.com/resources/gsa
8. Sitnik S.M., Jebabli I., “The Integral Transforms Composition Method for Generalized Index Shifted Transmutations”, Lobachevskii Journal of Mathematics, 45:7 (2024), 3401–3415 https://link.springer.com/journal/12202/volumes-and-issues/45-7  crossref  isi
9. E. L. Shishkina, A. Khitam, A. M. Qudosi, S. M. Sitnik, “Applications of transmutations of vekua – erd´elyi - lowndes type to differential equations”, Applied Mathematics & Physics, 56:1 (2024), 27–34  mathnet  crossref
10. V.V.Katrakhov, A.A.Katrakhova, L.N.Lyakhov, A.B.Muravnik, S.M.Sitnik, Khe Kan Cher, Singulyarnye kraevye zadachi, OOO IPTs “Nauchnaya kniga”, Voronezhskii gosudarstvennyi universitet, Voronezh, 2024 , 529 pp., (red. L.N.Lyakhov).
11. A. Ya. Belov, V. M. Bukhshtaber, V. B. Vasilev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamii, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (k 70-letiyu so dnya rozhdeniya)”, Chebyshevckii sbornik, 25:2 (2024), 5–19 https://www.chebsbornik.ru/jour/article/view/1728/1181  mathnet  crossref  mathscinet

   2023
12. Sergei M. Sitnik; Shakhobiddin T. Karimov, “Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators”, Mathematics (MDPI), 11(4), (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, Special Issue guest editor- S.M.Sitnik). (2023), 951 , 10 pp. https://www.mdpi.com/2227-7390/11/4/951  crossref  isi  scopus 3
13. Ravshan Ashurov; Sergei Sitnik, “Identification of the Order of the Fractional Derivative for the Fractional Wave Equation”, Fractal and Fractional, 7(1) (2023), 67 , 14 pp. https://www.mdpi.com/2504-3110/7/1/67  crossref  isi  scopus 3
14. Sitnik S.M., Fedorov V.E., Polovinkina M.V., Polovinkin I.P., “On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform”, Mathematics (MDPI), 11:5 (2023), 1103 , 16 pp., (This article belongs to the Special Issue “Recent Advances in the Theory and Applications of Fractional Calculus”, dedicated to our colleague and friend Professor Neville J. Ford on the occasion of his 65th birthday. Special Issue guest editors - Dr. Maria Luisa Morgado, Prof. Dr. Kai Diethelm, Prof. Dr. Yubin Yan.) https://www.mdpi.com/2227-7390/11/5/1103  crossref  isi  scopus 3
15. Sitnik S.M., Tu Rain, “Effektivnaya metodologiya sbora dannykh dlya obucheniya obratnoi dinamicheskoi modeli manipulyatora na osnove analiticheskogo metoda. I.”, Chelyabinskii fiziko-matematicheskii zhurnal, 8:1 (2023), 140–145 https://cpmj.csu.ru/index.php/cpmj/article/view/12566/360  mathnet  crossref  scopus
16. S. M. Sitnik, O. V. Skoromnik, M. V. Papkopvich, “Some Multi–dimensional Modified G- and H-Integral Transforms on L— Spaces”, Differential Equations, Mathematical Modeling and Computational Algorithms. DEMMCA 2021, Proceedings in Mathematics & Statistics, 423, eds. Vasilyev V., Springer, Cham, 2023, 193–214 https://link.springer.com/chapter/10.1007/978-3-031-28505-9_14  crossref  mathscinet  scopus 1
17. S. M. Sitnik, I. Jebabli, “On Applications of Integral Transforms Composition Method”, Lobachevskii Journal of Mathematics, 44:3 (2023), 1029–1042 https://link.springer.com/article/10.1134/S1995080223030319  crossref  isi  scopus 1
18. Sergei Sitnik, “Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms””, Mathematics (MDPI), 15:11 (2023), 3402 , 7 pp., (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, part 1, Guest Editor S.M.Sitnik) https://www.mdpi.com/2227-7390/11/15/3402  crossref  isi  scopus
19. S. M. Sitnik, “On the decay rate of solutions to the stationary Schrödinger equation with a potential depending on one variable”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 115–122  mathnet  crossref
20. Sergei Sitnik, Ed., Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, This book is a reprint of the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms that was published in Mathematics, MDPI., eds. Sergei Sitnik, MDPI, Basel, Switzerland, 2023 , 446 pp. https://www.mdpi.com/books/book/7922-analytical-and-computational-methods-in-differential-equations-special-functions-transmutations-and  crossref  mathscinet
21. Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Mnogochleny Lagerra v opisanii profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke pri uslovii Robena ili pri uslovii prisoedinennoi massy.”, Prikladnaya matematika & fizika, 55:8 (2023), 248–257 http://maths-physics-journal.ru/index.php/journal/article/view/211  mathnet  crossref
22. Sitnik S.M., Skoromnik O.V., “Multi-Dimensional Integral Transforms with the Fox H-Function and the Legendre Function of the First Kind in the Kernels on L-Spaces”, Lobachevskii Journal of Mathematics., 44:8 (2023), 3563-3581 https://link.springer.com/journal/12202/volumes-and-issues/44-8  crossref  mathscinet  isi  scopus
23. L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Lobachevskii Journal of Mathematics, Volume 44, Issue 8, August 2023. Part 2. Special issue: I. A. Kipriyanov and His Mathematics: to the Centennial Birthday Anniversary,, 42 research papers., eds. L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Springer, 2023 https://link.springer.com/journal/12202/volumes-and-issues/44-8
24. Sergey Sitnik, Shakhobiddin Karimov, Yorkinoy Tulasheva, “The Cauchy Problem for the Degenerate Beam Vibration Equation.”, Dedicated to the outstanding mathematician Makhmud Salakhitdinovich Salakhitdinov on the occasion of his 90th anniversary International Mathematical Schools. Vol. 6. Mathematical Schools in Uzbekistan., Journal of Mathematical Sciences, 277 (2023), 458–466 https://link.springer.com/article/10.1007/s10958-023-06849-5  crossref  mathscinet  scopus 1
25. S. M. Sitnik, M. V. Polovinkina, V. E. Fedorov, I. P. Polovinkin, “Recovery of the Laplace–Bessel operator of a function by the spectrum, which is specified not everywhere”, Proceedings of the Voronezh international winter mathematical school “Modern methods of function theory and related problems”, Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 52–57  mathnet  crossref
26. Abanin A.V., Vatulyan A.O., Karyakin M.I., Sitnik S.M., “YuRII ANATOLEVICh USTINOV (1934-2023)”, Izvestiya vysshikh uchebnykh zavedenii. Severo-Kavkazskii region. Seriya: estestvennye nauki, 218:2 (2023), 153–154 https://izvestiya.sfedu.ru/est-sci/ru/archive/content/2023/NS  crossref
27. Abanin A.V., Vatulyan A.O., Kazak V.V., Karyakin M.I., Nalbandyan Yu.S., Sitnik S.M., “SERGEI BORISOVICh KLIMENTOV (1951-2023)”, Izvestiya vysshikh uchebnykh zavedenii. Severo-Kavkazskii region. Seriya: estestvennye nauki, 218:2 (2023), 151-152 https://izvestiya.sfedu.ru/est-sci/ru/archive/content/2023/NS  crossref
28. S. M. Sitnik, Differentsialnye uravneniya i matematicheskaya fizika: uchebnik, ID «BelGU» NIU «BelGU», Belgorod, 2023 , 224 pp.

   2022
29. Sitnik S.M., Arian A.A., “On an Integral Equation with the Riemann Function Kernel”, Axioms (MDPI), 11:4 (2022), 166 , 12 pp. https://doi.org/10.3390/axioms11040166 ((This article belongs to the Special Issue “Advances in Nonlinear Boundary Value Problems: Theory and Applications”, Academic Editors: Feliz Manuel Minhos and Joao Fialho).)  crossref  isi  scopus
30. S. M. Sitnik, O. E. Yaremko, N. N. Yaremko, “Generalized Discrete Fourier Transform on the Base of Lagrange and Hermite Interpolation Formulas”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik. (2022), 1417–1427 https://link.springer.com/article/10.1134/S1995080222090256  crossref  mathscinet  zmath  isi  scopus
31. S. M. Sitnik, O. V. Skoromnik, S. A. Shlapakov, “Multi-Dimensional Generalized Integral Transform in the Weighted Spaces of Summable Functions.”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik (2022), 1408–1416 https://link.springer.com/article/10.1134/S1995080222090244  crossref  mathscinet  zmath  isi  scopus 7
32. Sergey M. Sitnik, Vladimir E. Fedorov, Nikolay V. Filin, Viktor A. Polunin, “On the Solvability of Equations with a Distributed Fractional Derivative Given by the Stieltjes Integral.”, Mathematics (MDPI), 10:16, This article belongs to the Special Issue Recent Advances in the Theory and Applications of Fractional Calculus (2022), 2979 , 20 pp. https://www.mdpi.com/2227-7390/10/16/2979  crossref  isi  scopus 7
33. Hari M. Srivastava, Sana Mehrez, Sergei M. Sitnik, “Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications.”, Mathematics (MDPI), 10:17, This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms. Guest editor for this Special Issue - S.M.Sitnik (2022), 3127 , 13 pp. https://www.mdpi.com/2227-7390/10/17/3127  crossref  isi  scopus 10
34. Sergey M. Sitnik, Khristofor V. Yadrikhinskiy, Vladimir E. Fedorov, “Symmetry Analysis of a Model of Option Pricing and Hedging.”, Symmetry (MDPI), 14:9, This article belongs to the Special Issue Special Functions and Orthogonal Polynomials: Symmetry and Applications (2022), 1841 , 18 pp. https://www.mdpi.com/2073-8994/14/9/1841  crossref  isi  scopus 6
35. Valeriy V. Katrakhov, Sergey M. Sitnik, Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations, (English translation by Professor A.B.Muravnik), arxiv.org, the World, 2022 , 207 pp. https://doi.org/10.48550/arXiv.2210.02246  crossref
36. A.K.Urinov, S.M.Sitnik, E.L.Shishkina, Sh.T.Karimov, DROBNYE INTEGRALY I PROIZVODNYE (OBOBSchENIYa I PRILOZhENIYa), uchebnoe posobie; uchebno-metodicheskoe izdanie, eds. A.P.Soldatov, I.S.Lomov, E.T.Karimov, izd. “Fargona”, Fergana, Uzbekistan, 2022 , 192 pp., ISBN: 978-9943-7857-2-4

   2021
37. Sitnik S.M., Shishkina E.L., “Retsenziya na monografiyu: V. V. Kravchenko, direct and inverse Sturm - Liouville problems. Springer, 2020, na angl. yazyke.(S kratkim ocherkom razvitiya teorii obratnykh zadach dlya uravneniya Shturma - Liuvillya)”, Prikladnaya matematika & Fizika, 53:1 (2021), 73–84 http://maths-physics-journal.ru/index.php/journal/article/view/47/41  mathnet  crossref  mathscinet
38. D. K. Durdiev, E. L. Shishkina, S. M. Sitnik, “Fractional powers of Bessel operator and its numerical calculation”, Chelyab. fiz.-matem. zhurn., 6:2 (2021), 172–189  mathnet  crossref  mathscinet  zmath  scopus
39. D.K. Durdiev, E.L. Shishkina, S.M. Sitnik, “The Explicit Formula for Solution of Anomalous Diffusion Equation in the Multi-Dimensional Space”, Lobachevskii J. Math., 42:6 (2021), 1264-1273 https://doi.org/10.1134/S199508022106007X, arXiv: https://arxiv.org/abs/2009.10594  crossref  mathscinet  zmath  adsnasa  isi  scopus 21
40. Elina Shishkina, Sergei Sitnik, Viktor Polunin, “On sharp bounds in the T. Lyonss neo-classical inequality, which is essential for the theory of stochastic differential equations”, Global and Stochastic Analysis, 8:2 (2021), 77–86 https://www.mukpublications.com/gsa-vol-8-no-2-2021.php  scopus
41. Shishkina E. L., Sitnik S. M., Jebabli I., “Application of Integral Transforms Composition Method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels”, Sibirskie elektronnye matematicheskie izvestiya, 18:2 (2021), 884–900 http://semr.math.nsc.ru/v18/n2/a30-a43.pdf  mathnet  crossref  mathscinet  isi  scopus 2
42. S. M. Sitnik, E. L. Shishkina, “On two classes of operators of generalized fractional integro-differentiation”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 109–122  mathnet  crossref  elib
43. L.A. Kovaleva, S.M. Sitnik, O.V. Chernova, E.L. Shishkina, Matematicheskii analiz. Funktsii odnoi peremennoi. Neravenstva : uchebno-metodicheskoe posobie, Belgorod: ID «BelGU», NIU «BelGU», 60 s., 2021 , arXiv: 2209.02585
44. Belgorodskii gosudarstvennyi natsionalnyi issledovatelskii universitet, Biobibliograficheskii spisok, razmeschen na saite BelGU, 2021 (Published online) http://library.bsu.edu.ru/library/e-lib/biobib-index/detail.php?ID=740541

   2020
45. V. V. Kravchenko, S. M. Sitnik, “Some Recent Developments in the Transmutation Operator Approach”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 3–9 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus 4
46. Sh. T. Karimov, S. M. Sitnik, “On Some Generalizations of the Properties of the Multidimensional Generalized Erdelyi–Kober Operators and Their Applications”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 85–115 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus
47. S. M. Sitnik , O. V. Skoromnik, “One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdelyi Type with Legendre Functions in Kernels”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 293–319 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus 6
48. E. L. Shishkina, S. M. Sitnik, “Fractional Bessel Integrals and Derivatives on Semi-axes”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 615–651 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus 1
49. S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “On the Correctness of Finite-Rank Approximations by Series of Shifted Gaussians”, Lobachevskii Journal Of Mathematics, 41:3 (2020), 423-429 https://link.springer.com/article/10.1134/S1995080220030166, arXiv: 2007.02694  crossref  mathscinet  zmath  adsnasa  isi  scopus 1
50. S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “Signal approximations by shifted Gaussians: a direct approach by finite linear systems”, Journal of Physics: Conference Series, 1479 (2020), 012046 , 9 pp. https://iopscience.iop.org/issue/1742-6596/1479/1 (In: Applied Mathematics, Computational Science and Mechanics: Current Problems 11-13, November 2019, Voronezh, Russian Federation)  crossref  isi  scopus 1
51. S.M. Sitnik, O. Yaremko, N. Yaremko, “Transmutation Operators Boundary Value Problems”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 447–466 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus
52. S.M. Sitnik, V.I. Makovetsky, “Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 171-191 https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus
53. Sitnik S.M., “O sovremennykh issledovaniyakh po teorii operatorov preobrazovaniya i ikh prilozheniyakh k differentsialnym uravneniyam”, Sovremennye razdely teorii differentsialnykh uravnenii i smezhnykh razdelov matematiki (Fergana, Uzbekistan, 12-13 marta 2020 g.), Konferentsiya posvyaschena 70–letiyu A.K. Urinova, Ferganskii gosudarstvennyi universitet, 2020, 139–143
54. Elina Shishkina, Sergei Sitnik, Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, Mathematics in Science and Engineering, Elsevier. Academic Press, 2020 , 592 pp. https://www.elsevier.com/books/transmutations-singular-and-fractional-differential-equations-with-applications-to-mathematical-physics/shishkina/978-0-12-819781-3  crossref  mathscinet  zmath  scopus
55. S. M. Sitnik, “On One Integral Equation in the Theory of Transform Operators”, Computational Mathematics and Mathematical Physics, 60 (2020), 1381–1391 https://link.springer.com/article/10.1134/S096554252008014X  mathnet  crossref  crossref  mathscinet  zmath  isi  isi  elib  scopus
56. V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133  crossref  mathscinet  zmath  scopus 18

   2019
57. S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
58. A. B. Pevnyi, S. M. Sitnik, “Obobscheniya neravenstv M. G. Kreina, E. A. Gorina i Yu. V. Linnika dlya polozhitelno opredelennykh funktsii na mnogotochechnyi sluchai”, Sibirskie elektronnye matematicheskie izvestiya, 16 (2019), 263–270 http://semr.math.nsc.ru/v16/p263-270.pdf  mathnet  crossref  mathscinet  zmath  isi  scopus 1
59. E.L. Shishkina, S.M. Sitnik, “A fractional equation with left-sided fractional Bessel derivatives of Gerasimov–Caputo type”, Mathematics, 7:12 (2019), 1216 , 21 pp. https://www.mdpi.com/2227-7390/7/12/1216, arXiv: arXiv:2006.01829  crossref  adsnasa  isi  scopus 14
60. S.M. Sitnik, O.V. Skoromnik, S.A. Shlapakov, “Mnogomernoe obschee integralnoe preobrazovanie so spetsialnymi funktsiyami v yadre”, Vesnik VDU (Vestnik Vitebskogo gosudarstvennogo universiteta imeni P.M. Masherova), 3:104 (2019), 18-27 https://vsu.by/vesnik-vdu/poslednij-vypusk.html  mathscinet
61. Khaled Mehrez,· Sergei M. Sitnik, “Functional inequalities for the Fox-Wright functions”, The Ramanujan Journal, 50:2 (2019), 263–287 https://link.springer.com/article/10.1007  crossref  mathscinet  zmath  isi  scopus 17
62. Alexander Kuznetsov, Elina Shishkina, Sergey Sitnik, “Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice”, Journal of Optimization Theory and Applications, 182:2 (2019), 768–784 https://link.springer.com/article/10.1007/s10957-018-1374-6  crossref  mathscinet  zmath  isi  scopus 1
63. Ryzhkova E.V., Serbina L.I., Sitnik S.M., “Quadratic exponential in modified discrete Fourier transform and shifted Gaussian series”, Journal of Physics: Conference Series, 1203 (2019), 012098 , 13 pp. https://iopscience.iop.org/article/10.1088/1742-6596/1203/1/012098  crossref  scopus
64. Polovinkin I.P., Shishkina E.L., Sitnik S.M., “Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation”, Journal of Inverse and Ill-posed Problems, 27:2 (2019), 171–184 https://www.degruyter.com/view/j/jiip.2019.27.issue-2/jiip-2017-0112/jiip-2017-0112.xml  crossref  mathscinet  zmath  isi  scopus 2
65. Mehrez K., Sitnik S. M., “Generalized Volterra functions, its integral representations and applications to the Mathieu-type series”, Applied Mathematics and Computation, 347 (2019), 578–589 https://www.sciencedirect.com/science/article/abs/pii/S0096300318309779  crossref  mathscinet  zmath  isi  scopus 1
66. S.M. Sitnik, “Integral Transform Composition Method (ITCM) in transmutaion theory: how it works”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 17–18
67. S.M. Sitnik, “Historical survey of transmutation theory: persons and result”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 16–17
68. Sergei Sitnik, Shakhobiddin Karimov, “Integral Transforms Composition Method (ITCM) in Transmutation Theory”, Abstracts of plenary lectures, Abstracts of the 2nd International Conference on Mathematical Modelling in Applied Sciences, ICMMAS’19 (Belgorod State University (BSU), Belgorod, Russia, august 20-24), BSU, Belgorod-Russia & Alpha-Publishing, 2019, 7–8

   2018
69. S. M. Sitnik, E. L. Shishkina, “O drobnykh stepenyakh operatora Besselya na poluosi”, Sibirskie Elektronnye Matematicheskie Izvestiya, 15 (2018), 1–10 http://semr.math.nsc.ru/v15/p1-10.pdf  mathnet  crossref  mathscinet  zmath  isi  scopus 5
70. Fitouhi A., Jebabli I., Shishkina E.L., Sitnik S.M., “Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electron. J. Differential Equations, 2018 (2018), 130 , 27 pp. https://ejde.math.txstate.edu/Volumes/2018/130/abstr.html, arXiv: https://arxiv.org/abs/1805.06925}{https://arxiv.org/abs/1805.06925}  mathscinet  zmath  adsnasa  isi  scopus

   2022
71. Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207 https://doi.org/10.48550/arXiv.2210.02246  mathnet  crossref  mathscinet  adsnasa

   2018
72. N. V. Zhukovskaya, S. M. Sitnik, “Euler type differential equations of fractional order”, Mathematical notes of NEFU, 25:2 (2018), 27–39  mathnet  crossref  mathscinet  zmath  elib  elib
73. N. V. Zhukovskaya , S. M. Sitnik, “Primenenie metoda Lenara - Shipara k resheniyu odnorodnogo differentsialnogo uravneniya tipa Eilera drobnogo poryadka na intervale”, Matematicheskie zametki SVFU, 25:3 (2018), 33–42 http://www.mzsvfu.ru/index.php/mz/article/view/applying-lienard-schipars-method-to-solving-euler-type-equations  mathnet  crossref  zmath  elib
74. K. Mehrez, S. M. Sitnik, “Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions”, Integral Transforms and Special Functions, 29:11 (2018), 875–892 https://www.tandfonline.com/doi/full/10.1080/10652469.2018.1512107, arXiv: 1805.01462v2  crossref  mathscinet  zmath  isi  scopus 3
75. P.Agarwal, A.A. Korenovskii, S.M. Sitnik, “A Generalization of Cauchy–Bunyakovsky Integral Inequality Via Means with Max and Min Values”, Advances in Mathematical Inequalities and Applications, Trends in Mathematics, eds. P. Agarwal, S.S. Dragomir, M. Jleli, B. Samet, Birkhauser Basel, Springer Nature Singapore, 2018, 333-349 https://www.springer.com/us/book/9789811330124  crossref  mathscinet  zmath  isi  scopus 71
76. Mehrez K., Sitnik S. M., “Turan Type Inequalities for Classical and Generalized Mittag-Leffler Functions”, Analysis Mathematica, 44:4 (2018), 521–541 https://link.springer.com/article/10.1007/s10476-018-0404-9  crossref  mathscinet  zmath  isi  scopus 15
77. S. M. Sitnik, “Turan-type inequalities and their applications in probability”, Theory of Probability and its Applications (SIAM), 62:4 (2018), 665–666 , Abstracts of talks given at the 2nd international conference on stochastic methods https://epubs.siam.org/doi/abs/10.1137/S0040585X97T988861  crossref  crossref  mathscinet  isi

   2017
78. D. S. Donchev, S. M. Sitnik, E. L. Shishkina, “On refinements of neo-classical inequality and its applications to stochastic differential equations and Brownian motion”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 257–265  mathnet  mathscinet  zmath  elib
79. I. G. Drovnikova, T. V. Meshcheryakova, A. D. Popov, E. A. Rogozin, S. M. Sitnik, “Mathematical model for estimating the efficiency of information security systems by means of Laplace transformation and Givens method”, Tr. SPIIRAN, 52 (2017), 234–259  mathnet  crossref  elib  scopus
80. A. B. Pevnyi, S. M. Sitnik, “Modifitsirovannoe diskretnoe preobrazovanie Fure i ego spektralnye svoistva”, Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika, 4:25 (2017), 15–19 https://syktsu.ru/_fac/math/vestnik/article/v25.pdf  zmath
81. Mehrez Kh., Sitnik S.M., “Functional Inequalities for the Mittag-Leffler Functions”, Results in Mathematics, 72:1(2) (2017), 703–714 https://link.springer.com/article/10.1007/s00025-017-0664-x  crossref  mathscinet  zmath  isi  scopus 17
82. E.L.Shishkina, S.M. Sitnik, “General form of the Euler-Poisson-Darboux equation and application of the transmutation method”, Electronic Journal of Differential Equations, 177 (2017), 1–20 https://ejde.math.txstate.edu/Volumes/2017/177/abstr.html  isi  scopus
83. S.M. Sitnik, “A short survey of recent results on Buschman-Erdelyi transmutations”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 140-157 http://ilirias.com/jiasf/repository/docs/JIASF8-1-12.pdf  mathscinet  isi
84. E.L.Shishkina, S.M. Sitnik, “On fractional powers of Bessel operators”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 49–67 http://ilirias.com/jiasf/repository/docs/JIASF8-1-5.pdf  mathscinet  isi
85. Pevnyi A. B. , Sitnik S. M., “Neravenstva dlya polozhitelno opredelennykh funktsii nad polem kompleksnykh chisel”, Tezisy dokladov VI shkoly - konferentsii po algebraicheskoi geometrii i kompleksnomu analizu (g. Koryazhma Arkhangelskoi oblasti, Filial S(A)FU im. M. V. Lomonosova), Filial S(A)FU im. M. V. Lomonosova, Koryazhma Arkhangelskoi oblasti, Koryazhma, 2017, 59–60
86. S.M. Sitnik, “Buschman-Erdelyi Transmutations and applications”, Abstracts of the 8th international conference "Transform Methods and Special Functions (Bulgaria, Sofia, 27-31.08 2017), Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 2017, 59
87. S.M. Sitnik, “Applications of Buschman-Erdelyi Transmutations to Connection Formulas for Differential Equations with Singular Coefficients”, Abstracts of the 8th international conference "Differential and Functional Differential Equations (Moscow, 13-20.08.2017), RUDN University, Moscow, 2017, 169–170

   2016
88. S. M. Sitnik, Kh. Mekhrez, “Monotonnost otnoshenii nekotorykh gipergeometricheskikh funktsii”, Sib. elektron. matem. izv., 13 (2016), 260–268 http://semr.math.nsc.ru/v13/p260-268.pdf  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 10
89. S. M. Sitnik, “Srednie K. Dzhini i primeneniya neravenstv dlya nikh v khimii polimerov”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika, 6 (227):42 (2016), 83–86 http://unid.bsu.edu.ru/unid/res/ved/detail.php?IBLOCK_ID=106&SECTION_ID=573&ELEMENT_ID=366799  elib
90. S. M. Sitnik, “Kraevye zadachi dlya uravnenii s osobennostyami v rabotakh V.V.Katrakhova”, Mezhdunarodnaya nauchnaya konferentsiya "Aktualnye problemy teorii uravnenii v chastnykh proizvodnykh. (Posvyaschaetsya pamyati akademika A.V.Bitsadze) (Moskva, 16–18 iyunya 2016 g.), MGU, 2016, 72  mathscinet
91. S. M. Sitnik, Kh. Mehrez, “Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions”, Analysis (De Gruyter), 36:4 (2016), 263–268 https://www.degruyter.com/view/j/anly.2016.36.issue-4/anly-2015-0029/anly-2015-0029.xml?format=INT  crossref  mathscinet  zmath  scopus 12
92. S. M. Sitnik, “Obobschenie neravenstva Koshi - Bunyakovskogo v terminakh maksimumov i minimumov funktsii”, Matematicheskii forum (Itogi nauki. Yug Rossii), 10:1 (2016), 79-98
93. S. M. Sitnik, “A survey of Buschman — Erdelyi transmutations”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 63–93  mathnet  elib
94. F. M. Dannan, S. M. Sitnik, “The Damascus inequality”, Probl. anal. Issues Anal., 5(23):2 (2016), 3–19 http://issuesofanalysis.petrsu.ru/journal/content_list.php?id=9521  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
95. S. M. Sitnik, E. L. Shishkina, “On an identity for the iterated weighted spherical mean and its applications”, Sib. Èlektron. Mat. Izv., 13 (2016), 849–860  mathnet  crossref  mathscinet  zmath  isi  scopus
96. Kh. Mehrez, S.M. Sitnik, “On monotonicity of ratios of some q-hypergeometric functions”, Matematicki Vesnik, 68:3 (2016), 225–231 http://www.emis.de/journals/MV/163/8.html  mathscinet  zmath  isi  elib  scopus
97. Sitnik S.M., Primenenie operatorov preobrazovaniya Bushmana–Erdeii i ikh obobschenii v teorii differentsialnykh uravnenii s osobennostyami v koeffitsientakh, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk. Spetsialnost 01.01.02 - differentsialnye uravneniya, dinamicheskie sistemy i optimalnoe upravlenie, Voronezhskii gosuniversitet, Voronezh, 2016 , 320 pp.
98. S. M. Sitnik, “Means of C. Jini and applications of its inequalities in the polymer chemistry”, Applied Mathematics & Physics, 42:6 (2016), 83–86  mathnet  mathscinet
99. A. B. Pevnyi, S. M. Sitnik, Mat. Pros., 20, MCCME, Moscow, 2016, 135–142  mathnet

   2015
100. A. B. Pevnyi, S. M. Sitnik, “Neravenstva dlya strogo polozhitelno opredelënnykh funktsii.”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika., # 17:40 (2015), 106–114 http://unid.bsu.edu.ru/unid/res/ved/detail.php?IBLOCK_ID=106&SECTION_ID=573&ELEMENT_ID=341771  elib
101. S. M. Sitnik, A. S. Timashov, S. N. Ushakov, “Metod konechnomernykh priblizhenii v zadachakh kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika., 17:40 (2015), 130–142  elib
102. Pevnyi A. B., Sitnik S. M., “On Gasparyan’s Inequality”, Journal Of Mathematical Sciences, 205:2 (2015), 304–307 http://link.springer.com/article/10.1007  crossref  mathscinet  zmath  scopus
103. S.M. Sitnik, A.A. Kovalchuk, “Neravenstva Yanga dlya neskolkikh chisel”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, 17 (214):40 (2015), 73–75

   2014
104. E. A. Kiselev, L. A. Minin, I. Ya. Novikov, S. M. Sitnik, “On the Riesz Constants for Systems of Integer Translates”, Math. Notes, 96:2 (2014), 228–238  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
105. S. M. Sitnik, On the Correctness of the Main Theorem for Absolutely Monotonic Functions, http://rgmia.org/papers/v17/v17a106.pdf, RGMIA preprint, 2014 , 4 pp., RGMIA Research Report Collection, 17, Article 106, (http://arxiv.org/abs/1202.1210, 2012, updated 2014, 4 pp.)

   2015
106. A. B. Pevnyi, S. M. Sitnik, “On Gasparyan’s Inequality”, Journal Of Mathematical Sciences, 205:2 (2015), 304–307 , Springer  crossref  mathscinet  zmath  scopus

   2014
107. L.A. Minin, S.M. Sitnik, S.N. Ushakov, “Povedenie koeffitsientov uzlovykh funktsii, postroennykh iz ravnomernykh sdvigov funktsii Gaussa i Lorentsa”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, #7 (183):35 (2014), 214–217

   2013
108. S.M. Sitnik, “Buschman-Erdelyi transmutations, classification and applications”, Analytic Methods Of Analysis And Differential Equations: Amade 2012 (Minsk, 2012, AMADE), eds. M.V. Dubatovskaya, S.V. Rogosin, Cambridge Scientific Publishers, Cottenham, Cambridge, 2013, 171–201 http://www.cambridgescientificpublishers.com/  mathscinet
109. Sitnik S.M., Timashov A.S., “Raschet konechnomernoi matematicheskoi modeli v zadache kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, 19 (162):32 (2013), 184–186  elib

   2012
110. S. M. Sitnik, “Novye kraevye zadachi s K-sledom dlya reshenii s suschestvennymi osobennostyami v rabotakh V. V. Katrakhova”, Obratnye i nekorrektnye zadachi matematicheskoi fiziki, Mezhdunarodnaya konferentsiya, posvyaschennaya 80-letiyu so dnya rozhdeniya akademika Mikhaila Mikhailovicha Lavrenteva. (Novosibirsk, Rossiya, 5-12 avgusta 2012 g.), Tezisy dokladov, eds. chlen-korr. RAN V. G. Romanov, chlen-korr. RAN S. I. Kabanikhin, D. S. Anikonov, A. I. Kozhanov, Sibirskoe nauchnoe izdatelstvo, Novosibirsk, 2012, 439 http://conf.nsc.ru/files/conferences/lavr80/139479/lavr12-20121007.pdf#page=439
111. A. O. Vatulyan, V. A. Kabelkov, T. N. Kabelkova, S. B. Klimentov, A. I. Kondratenko, A. G. Kusraev, A. N. Nikiforov, A. E. Pasenchuk, V. A. Rodin, V. G. Safronenko, S. M. Sitnik, A. N. Tkachev, V. G. Fetisov, “Pamyati Aleksandra Nikolaevicha Kabelkova (1947–2011)”, Vladikavk. matem. zhurn., 14:2 (2012), 74–77  mathnet  mathscinet  zmath  elib

   2011
112. M. V. Zhuravlev, E. A. Kiselev, L. A. Minin and S. M. Sitnik, “Jacobi theta–functions and systems of integral shifts of Gaussian functions”, Journal of Mathematical Sciences, Springer, 173:2 (2011), 231–241 http://link.springer.com/article/10.1007/s10958-011-0246-5  crossref  mathscinet  zmath  scopus 11

   2010
113. S. M. Sitnik, “On integral representation to solutions for a differential equation with singular coefficients”, Vladikavkaz. Mat. Zh., 12:4 (2010), 73–78  mathnet  elib
114. Sitnik S.M., “O yavnykh realizatsiyakh drobnykh stepenei differentsialnogo operatora Besselya i ikh prilozheniyakh k differentsialnym uravneniyam”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 12:2 (2010), 69–75  mathscinet
115. D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1  crossref  mathscinet  zmath  isi  scopus 45
116. Sergei M. Sitnik, Transmutations and Applications: a Survey, 2010, 2012 , 141 pp., This is an extended version of originally published survey in the book: “Advances in Modern Analysis and Mathematical Modeling”. Editors: Yu.F.Korobeinik, A.G.Kusraev. Vladikavkaz: Vladikavkaz Scientific Center, of the Russian Academy of Sciences and Republic of North Ossetia–Alania, 2008. P. 226-293. (In Russian)., arXiv: 1012.3741  mathscinet
117. M. V. Zhuravlëv, E. A. Kiselëv, L. A. Minin, S. M. Sitnik., “Teta–funktsii Yakobi i sistemy tselochislennykh sdvigov funktsii Gaussa”, Sovremennaya matematika i eë prilozheniya, 67 (2010), 107–116 http://science.org.ge/cma/cma_r.html  mathscinet
118. Sitnik S.M., “Operator preobrazovaniya spetsialnogo vida dlya differentsialnogo operatora s singulyarnym v nule potentsialom”, Neklassicheskie uravneniya matematicheskoi fiziki, Sbornik posvyaschen 65 - letiyu so dnya rozhdeniya professora Vladimira Nikolaevicha Vragova, eds. A.I.Kozhanov, Izdatelstvo instituta matematiki im. S.L.Soboleva SO RAN, Novosibirsk, 2010, 264–278
119. S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864  adsnasa

   2009
120. D. Karp, S. M. Sitnik, “Inequalities and monotonicity of ratios for generalized hypergeometric function”, Journal of Approximation Theory, 161 (2009), 337–-352 , arXiv: math.CA/0703084  crossref  mathscinet  zmath  adsnasa  isi  scopus 36
121. S. M. Sitnik, “Utochneniya i obobscheniya klassicheskikh neravenstv”, Itogi nauki. Yuzhnyi federalnyi okrug., "Matematicheskii forum. Issledovaniya po matematicheskomu analizu, eds. Yu. F. Korobeinik, A. G. Kusraev, Yuzhnyi matematicheskii institut VNTs RAN i RSO Alaniya, Vladikavkaz, 2009, 221–266 arXiv:1012.3864
122. L. A. Minin, S. M. Sitnik, “O neravenstvakh dlya teta–funktsii Yakobi”, Chernozëmnyi almanakh nauchnykh issledovanii, Nomer, posvyaschënnyi 85-letiyu Ivana Aleksandrovicha Kipriyanova, Seriya “Fundamentalnaya matematika”, 1(8), izdatelstvo VGU, Voronezh, 2009, 234–311
123. L.A. Minin, M.V. Zhuravlev, S.M. Sitnik, “O vychislitelnykh osobennostyakh interpolyatsii s pomoschyu tselochislennykh sdvigov gaussovykh funktsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta, 13 (68):17/2 (2009), 89–99  elib
124. Sitnik S.M., Nedoshivina A.I., “O primenenii metodov teorii funktsii kompleksnogo peremennogo k zadache o lokalizatsii tochki otnositelno mnogougolnika, voznikayuschei pri szhatii dannykh videonablyudeniya”, Chernozemnyi almanakh nauchnykh issledovanii. Seriya “Fundamentalnaya matematika”, Nomer, posvyaschennyi 85-letiyu Ivana Aleksandrovicha Kipriyanova, 1 (8), eds. Minin L.A., Polovinkin I.P., Sitnik S.M.,, Voronezhskii gosuniversitet, Voronezh, 2009, 324–339
125. Sitnik S.M., Lyalikov A.A., “Obobscheniya maloi teoremy Ferma o delimosti dvuchlenov na sluchai stepeni, ne yavlyayuscheisya prostym chislom”, Chernozemnyi almanakh nauchnykh issledovanii. Seriya “Fundamentalnaya matematika”, Nomer, posvyaschennyi 85-letiyu Ivana Aleksandrovicha Kipriyanova, 1 (8), eds. Minin L.A., Polovinkin I.P., Sitnik S.M., Voronezhskii gosuniversitet, Voronezh, 2009, 189–193
126. Sitnik S.M., “Ob odnom trivialnom sposobe polucheniya neravenstv dlya srednikh velichin”, Sovremennaya matematika i problemy matematicheskogo obrazovaniya, Orlovskii gosudarstvennyi universitet, Orel, 2009, 89–94

   2008
127. S.M.Sitnik, “Operatory preobrazovaniya i ikh prilozheniya”, Obzor, Issledovaniya po sovremennomu analizu i matematicheskomu modelirovaniyu (Volgodonsk, 2007), eds. Korobeinik Yu. F., Kusraev A. G., Vladikavkazskii nauchnyi tsentr RAN i RSO–A., Vladikavkaz, 2008, C. 226–293.
128. Sitnik S.M., “Metod faktorizatsii operatorov preobrazovaniya v teorii differentsialnykh uravnenii”, Vestnik Samarskogo Gosudarstvennogo Universiteta (SamGU) - Estestvennonauchnaya seriya, 8/1 (67) (2008), 237–248
129. Karp D.B., Sitnik S.M., “Neravenstva dlya nekotorykh gipergeometricheskikh funktsii”, Trudy uchastnikov mezhdunarodnoi shkoly -seminara po geometrii i analizu pamyati N.V.Efimova (Abrau-Dyurso, baza otdykha Yuzhnogo federalnogo universiteta “Limanchik”. 9-15 sentyabrya 2008 g.), eds. prof. S.B. Klimentov, Yuzhnyi Federalnyi universitet, Rostov-na-Donu, 2008, 111–112

   2007
130. S. M. Sitnik, “Spectral properties of modified discrete Fourier transforms”, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 95–97  mathnet
131. S. M. Sitnik, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 158–160  mathnet
132. D. Karp, A. Savenkova, S.M.Sitnik, “Series expansions for the third incomplete elliptic integral via partial fraction decompositions”, Journal of Computational and Applied Mathematics, 207, Proceedings of The Conference in Honour of Dr. Nico Temme on the Occasion of his 65th birthday:2 (2007), P. 331–337. , arXiv: math. CA/0410009/2004  crossref  mathscinet  zmath  adsnasa  isi  scopus 11
133. S.M.Sitnik, “Kompyuternyi analiz spektralnykh svoistv modifitsirovannykh diskretnykh preobrazovanii Fure”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 9:1 (2007), C. 98–103.  mathscinet
134. D.Karp, S.M.Sitnik, “Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity”, Journal of Computational and Applied Mathematics, 205 (2007), P. 186 – 206 , arXiv: math.CA/0604026  crossref  mathscinet  zmath  adsnasa  isi  scopus 18

   2005
135. Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Opisanie profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke s kraevymi usloviyami pervogo ili vtorogo roda - na odnom kontse i tretego roda ili prisoedinënnoi massy - na drugom”, Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M. (2005), C. 53-68.
136. S.M.Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo metodom srednikh znachenii i ikh prilozheniya”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam” (2005), C. 3-42. (Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M.)

   2004
137. S. M. Sitnik, A. S. Timashov, “Definition Of Multifocal Curves”, Proceedings of the All-Russian Scientific Conference (26–28 May 2004). Part 2, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2004, 246–249  mathnet
138. Sitnik S.M., “Ob obobschenii binominalnoi teoremy, voznikayuschem v teorii differentsialnykh uravnenii”, Vestnik Voronezhskogo instituta MVD Rossii, 2004, no. 1 (16), 143–147
139. Sitnik S.M., Timashov A.S., “Opredeleniya mnogofokusnykh krivykh”, Vestnik Voronezhskogo instituta MVD Rossii, 2004, no. 1 (16), 148–150
140. S.M. Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo i ikh prilozheniya”, Bunyakovsky International Conference (Kyiv, August 16-21, 2004), inst. matematiki NAN Ukrainy, Kiev, 2004, 119-120
141. S. M. Sitnik, D. B. Karp, E. V. Kostyuchenko., “Formuly dlya razlozheniya nekotorykh drobei na prosteishie i ikh primeneniya k spetsialnym funktsiyam.”, Vestnik Dalnevostochnoi gosudarstvennoi akademii ekonomiki i upravleniya, 4:32 (2004), 82–93 (Vladivostok.)

   2002
142. S.M.Sitnik, “Nekotorye prilozheniya utochnenii neravenstva Koshi-Bunyakovskogo”, Vestnik Samarskoi gosudarstvennoi ekonomicheskoi akademii, 1(8) (2002), C. 302-313.

   2000
143. S. M. Sitnik, “Utochnenie integralnogo neravenstva Koshi-Bunyakovskogo”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta., 2000, Seriya “Fiziko-matematicheskie nauki”, no. 9, 37–45  mathnet  crossref  elib 37

   1999
144. G.A. Antsiferova, S.M.Sitnik, “Nekotorye obobscheniya neravenstva Yunga”, Vestnik Voronezhskogo instituta MVD Rossii, 2(4) (1999), C. 161-164.

   1998
145. Sitnik S.M., Bulygin A.M., Koshlakov S.N., “Neravenstva o srednikh v kompleksnoi oblasti”, Nauchno-prakticheskaya konferentsiya Voronezhskoi Vysshei Shkoly MVD Rossii. Tezisy dokladov. Chast II (Voronezh, 1998), VI MVD, 1998, 6–7

   1996
146. D. S. Konovalova, S. M. Sitnik, “Formula Teilora dlya operatorov tipa Besselya”, Voronezhskaya vesennyaya matematicheskaya shkola Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17–23 aprelya 1996 g.), VGU, Voronezh, 1996, 102
147. Sitnik S.M., “Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, Voronezh, 1996, 165
148. Sitnik S.M., “Metod polucheniya posledovatelnykh utochnenii neravenstva Koshi-Bunyakovskogo i ego primeneniya k otsenkam spetsialnykh funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 164
149. Konovalova D.S., Sitnik S.M., “Formula Teilora dlya operatorov tipa Besselya”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 102
150. S.M. Sitnik, “Refinements of the Bunyakovskii-Schwartz inequalities with applications to special functions estimates”, Conference in Mathematical Analysis and Applications in Honour of Lars Inge Hedbergs Sixtieth Birthday (Linkoping University, Sweden, June 10-15. 1996), Linkoping University, Sweden, 1996, 97

   1995
151. Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28  mathnet  mathscinet  zmath  isi
152. Katrakhov V.V.; Sitnik S.M., “Estimates of the Jost solution to a one–dimensional Schrodinger equation with a singular potential”, Dokl. Math. , Russian Academy of Sciences, 51:1 (1995), 14–16  mathnet  mathscinet  mathscinet  zmath  isi
153. Katrakhov V.V.; Sitnik S.M., “Composition method for constructing $B$-elliptic, $B$-hyperbolic, and $B$-parabolic transformation operators”, Russ. Acad. Sci., Dokl., Math., 50:1 (1995), 70–77  mathnet  mathscinet  zmath  isi

   1994
154. Volovich V.V., Minin L.A., Mordvinov V.V., Sitnik S.M., Formula Obreshkova i eë primenenie v teorii approksimatsii Pade, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 20 pp.
155. Lyakhovetskii G.V., Sitnik S.M., Operatory preobrazovaniya Vekua-Erdeii-Laundesa, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 23 pp.
156. Karp D.B., Sitnik S.M., Drobnoe preobrazovanie Khankelya i ego prilozheniya v matematicheskoi fizike, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 24 pp.
157. S. M. Sitnik, Neravenstva dlya polnykh ellipticheskikh integralov Lezhandra, Preprint IAPU DVO RAN, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 17 pp.

   1993
158. S. M. Sitnik, Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1993 , 30 pp., arXiv:1608.08784 (2016, updated)

   1992
159. Sitnik S.M., “Operatory Bushmana-Erdeii”, Differentsialnye i integralnye uravneniya. Matematicheskaya fizika i spetsialnye funktsii. Mezhdunarodnaya nauchnaya konferentsiya (24-31 maya 1992 g., g. Samara), eds. sostavitel N.Ya. Nikolaev, Samarskii gosuniversitet, 1992, 233–234

   1991
160. S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330  mathnet  mathscinet  zmath  isi; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646  mathscinet  zmath 6

   1990
161. S. M. Sitnik, Unitarnost i ogranichennost operatorov Bushmana-Erdeii nulevogo poryadka gladkosti, preprint, Institut avtomatiki i protsessov upravleniya DVO AN SSSR, Vladivostok, 1990 , 44 pp.
162. Katrakhov V.V.; Sitnik S.M., “Factorization methods in the theory of transmutation operators”, Nonclassical equations and equations of mixed type, Collection of scientific works, Novosibirsk: Institut Matematiki SO AN SSSR, 1990, 104–122  mathscinet  zmath

   1989
163. Sitnik S.M., “Formuly sootvetstviya dlya modelnykh uravnenii s chastnymi proizvodnymi s osobennostyami”, Matematicheskoe modelirovanie v estestvoznanii i tekhnologii. Tezisy dokladov Vsesoyuznoi shkoly-seminara (Vladivostok, 14-21 sentyabrya 1989 g), eds. V.Yu. Subochev, IPM DVO RAN, 1989, 50–51
164. Sitnik S.M., “Operatory preobrazovaniya Bushmana-Erdeii v funktsionalnykh prostranstvakh”, “Lineinye operatory v funktsionalnykh prostranstvakh”. Tezisy dokladov Severo-Kavkazskoi regionalnoi konferentsii (1989, Groznyi), Groznenskii universitet, 1989, 150
165. Sitnik S.M., “Operatory preobrazovaniya dlya singulyarnykh differentsialnykh uravnenii s operatorom Besselya”, Kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1989, 179–185  mathscinet

   1988
166. S. M. Sitnik, “O skorosti ubyvaniya reshenii nekotorykh ellipticheskikh i ultraellipticheskikh uravnenii”, Differentsialnye uravneniya, 24:3 (1988), 538–539  mathnet  mathscinet  zmath 2
167. Sitnik S.M., Fadeev S.A., Ob odnoi pare operatorov preobrazovaniya, Rukopis deponirovana v VINITI 13.07.1988, N 5629-V88. Voronezhskii politekhnicheskii institut, 1988

   1987
168. Sitnik S.M., Metod operatorov preobrazovaniya dlya statsionarnogo uravneniya Shredingera, kand. fiz.–mat. nauk, Voronezhskii gosuniversitet, Voronezh, 1987 , 160 pp.
169. Sitnik S.M., “Ob odnoi pare operatorov preobrazovaniya”, Kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1987, 168–173  mathscinet

   1986
170. Sitnik S.M., Operatory preobrazovaniya dlya differentsialnogo vyrazheniya Besselya, Rukopis deponirovana v VINITI 23.01.1987, N 535-V87. 1986, Voronezhskii universitet, Voronezh. 28 S., 1986
171. Sitnik S.M., O skorosti ubyvaniya reshenii nekotorykh ellipticheskikh i ultraellipticheskikh uravnenii, Rukopis deponirovana v VINITI 13.11.1986, N 7771-V86. 1986, Voronezhskii universitet, Voronezh. 19 s., 1986
172. Sitnik S.M., Ob unitarnykh operatorakh preobrazovaniya, Rukopis deponirovana v VINITI 13.11.1986, N 7770-V86. 1986, Voronezhskii universitet, Voronezh. 9 s., 1986

   1985
173. Sitnik S.M., “O skorosti ubyvaniya reshenii statsionarnogo uravneniya Shredingera s potentsialom, zavisyaschim ot odnoi peremennoi”, Neklassicheskie uravneniya matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1985, 139–147

   1984
174. Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470  mathnet  mathscinet  mathscinet  mathscinet  zmath  isi

   1983
175. S. M. Sitnik, “Kraevaya zadacha s integralnymi granichnymi usloviyami dlya odnogo klassa uravnenii s silnym vyrozhdeniem”, Materialy XXI Vsesoyuznoi nauchnoi studencheskoi konferentsii “Student i nauchno-tekhnicheskii progress”. Matematika. (Novosibirsk, 1983), NGU, 1983, 55–58

Presentations in Math-Net.Ru
1. On some inequalities with applications in probability theory and stochastic analysis
S. M. Sitnik
9th International Conference on Stochastic Methods
June 4, 2024 12:30   
2. Quadratic exponents with applications: finite sums, series, integral transforms
S. M. Sitnik
Seminar on the History of Mathematics
March 7, 2024 18:00   
3. Воронежская школа по сингулярным дифференциальным уравнениям (к столетию И.А.Киприянова)
S. M. Sitnik
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 17, 2023 17:10   
4. Неравенства Тибора Радо и некоторые их применения
S. M. Sitnik

March 28, 2023 20:00
5. Cauchy-Bunyakovskii inequalities: generalizations and applications
S. M. Sitnik
International scientific workshop OTHA Fall 2022
December 20, 2022 12:00   
6. Voronezh Mathematical School on Differential Equations
S. M. Sitnik
Seminar on the History of Mathematics
March 3, 2022 18:00   
7. Cauchy-Bunyakovsky inequalities: brief historical information, generalizations, and applications
S. M. Sitnik
Seminar on the History of Mathematics
November 4, 2021 18:00   
8. Voronezh school on the theory of singular differential equation and transformation operators
S. M. Sitnik
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 16:10
9. Обобщения неравенства Коши-Буняковского и их приложения
S. M. Sitnik

February 26, 2019 17:30

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