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Safonova, Tatyana Anatolievna

Associate professor
Candidate of physico-mathematical sciences
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 14.11.1983
E-mail:
Keywords: asimptotic of solutions, asymptotic proximity of the decisions, spectrum.
UDC: 517.983.35, 517.983.3

Subject:

Spectral analisys of differential and difference operators.

   
Main publications:
  1. Dolgikh I.N., Strelkova T.A., “Asimptoticheskie formuly reshenii klassa differentsialnykh uravnenii proizvolnogo poryadka i ikh prilozheniya”, Trudy mezhdunarodnoi konferentsii po differentsialnym uravneniyam i dinamicheskim sistemam

https://www.mathnet.ru/eng/person59463
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2024
1. T. A. Safonova, “On New Representations of the Values of the Dirichlet Beta Function at Even Points”, Mat. Zametki, 115:5 (2024),  800–804  mathnet  mathscinet; Math. Notes, 115:5 (2024), 845–849  scopus
2. K. A. Mirzoev, T. A. Safonova, “Lacunary Recurrence Relations with Gaps of Length 8 for the Bernoulli and Euler Polynomials”, Mat. Zametki, 115:2 (2024),  308–313  mathnet  mathscinet; Math. Notes, 115:2 (2024), 279–284  scopus
2023
3. K. A. Mirzoev, T. A. Safonova, “Around the Gauss theorem on the values of Euler's digamma function at rational points”, Algebra i Analiz, 35:2 (2023),  86–106  mathnet; St. Petersburg Math. J., 35:2 (2024), 311–325 1
2022
4. K. A. Mirzoev, T. A. Safonova, “Polynomials in the differentiation operator and formulas for the sums of some converging series”, Funktsional. Anal. i Prilozhen., 56:1 (2022),  81–93  mathnet; Funct. Anal. Appl., 56:1 (2022), 61–71  scopus 1
5. K. A. Mirzoev, T. A. Safonova, “Values of the Riemann Zeta Function and the Dirichlet Beta Function at Positive Integer Points and Multiple Numerical Series”, Mat. Zametki, 112:6 (2022),  947–952  mathnet; Math. Notes, 112:6 (2022), 1071–1076  scopus
2020
6. K. M. Mirzoev, T. A. Safonova, “Representations of $\zeta(2n+1)$ and related numbers in the form of definite integrals and rapidly convergent series”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  48–52  mathnet  zmath  elib; Dokl. Math., 102:2 (2020), 396–400 2
7. K. A. Mirzoev, T. A. Safonova, “Integral Representation of Sums of Series Associated with Special Functions”, Mat. Zametki, 108:4 (2020),  632–637  mathnet  mathscinet  elib; Math. Notes, 108:4 (2020), 617–622  isi  scopus 3
2019
8. K. A. Mirzoev, T. A. Safonova, “Ordinary differential operators and the integral representation of sums of certain power series”, Tr. Mosk. Mat. Obs., 80:2 (2019),  157–177  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 133–151  scopus 6
9. K. A. Mirzoev, T. A. Safonova, “On Integral Representation of Sums of Some Power Series”, Mat. Zametki, 106:3 (2019),  470–475  mathnet  mathscinet  elib; Math. Notes, 106:3 (2019), 468–472  isi  scopus 3
2018
10. K. A. Mirzoev, N. N. Konechnaja, T. A. Safonova, R. N. Tagirova, “Generalized Jacobian Matrices and Spectral Analysis of Differential Operators with Polynomial Coefficients”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 152 (2018),  91–102  mathnet  mathscinet; J. Math. Sci. (N. Y.), 252:2 (2021), 213–224 2
2017
11. K. A. Mirzoev, N. N. Konechnaja, T. A. Safonova, R. N. Tagirova, “On asymptotics of solutions to some linear differential equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 141 (2017),  103–110  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 241:5 (2019), 614–621 1
12. I. N. Braeutigam, K. A. Mirzoev, T. A. Safonova, “On deficiency index for some second order vector differential operators”, Ufimsk. Mat. Zh., 9:1 (2017),  18–28  mathnet  elib; Ufa Math. J., 9:1 (2017), 18–28  isi  scopus 5
2016
13. K. A. Mirzoev, T. A. Safonova, “On the Deficiency Index of the Vector-Valued Sturm–Liouville Operator”, Mat. Zametki, 99:2 (2016),  262–277  mathnet  mathscinet  elib; Math. Notes, 99:2 (2016), 290–303  isi  scopus 15
2015
14. I. N. Braeutigam, K. A. Mirzoev, T. A. Safonova, “An Analog of Orlov's Theorem on the Deficiency Index of Second-Order Differential Operators”, Mat. Zametki, 97:2 (2015),  314–317  mathnet  mathscinet  zmath  elib; Math. Notes, 97:2 (2015), 300–303  isi  scopus 5
2011
15. T. A. Safonova, “Asymptotic Integration of Systems of Quasidifferential Equations of Second Order”, Mat. Zametki, 89:6 (2011),  951–953  mathnet  mathscinet; Math. Notes, 89:6 (2011), 907–910  isi  scopus
16. K. A. Mirzoev, T. A. Safonova, “The singular Sturm–Liouville operators with nonsmooth potentials in a space of vector functions”, Ufimsk. Mat. Zh., 3:3 (2011),  105–119  mathnet  zmath 4

Presentations in Math-Net.Ru
1. Рекуррентные соотношения с пропусками для многочленов Бернулли и Эйлера
K. A. Mirzoev, T. A. Safonova
Contemporary Problems in Number Theory
November 21, 2024 12:30   
2. Лакунарные рекуррентные соотношения для многочленов Бернулли и Эйлера.
K. A. Mirzoev, T. A. Safonova
Seminar on Theory of Functions of Real Variables
April 14, 2023 18:30
3. Вокруг теоремы Гаусса о значениях дигамма-функции Эйлера в рациональных точках
T. A. Safonova

November 8, 2022 18:30
4. Вокруг теоремы Гаусса о значениях дигамма-функции Эйлера в рациональных точках
K. A. Mirzoev, T. A. Safonova
XXI International Conference «Algebra, Number Theory, Discrete Geometry and Multiscale Modeling: Modern Problems, Applications and Problems of History», Dedicated to the 85th Anniversaryof the Birth of A. A. Karatsuba
May 19, 2022 13:05
5. About quasiregularity of differential operator of the fourth order with singular coefficients
T. A. Safonova
International Conference on Differential Equations and Dynamical Systems
July 4, 2014 16:50

Organisations
 
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