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Slavyanov, Sergei Yur'evich
(1942–2019)
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 33

Number of views:
This page:3803
Abstract pages:12812
Full texts:5352
References:1540
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.03 (Mathematical physics)

https://www.mathnet.ru/eng/person18774
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/163595
https://elibrary.ru/author_items.asp?authorid=13820

Publications in Math-Net.Ru Citations
2019
1. A. A. Salatich, S. Yu. Slavyanov, “Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation”, Rus. J. Nonlin. Dyn., 15:1 (2019),  79–85  mathnet  elib  scopus 3
2. O. I. Marichev, S. Yu. Slavyanov, Yu. A. Brychkov, “Bell polynomials in the Mathematica system and asymptotic solutions of integral equations”, TMF, 201:3 (2019),  446–456  mathnet  mathscinet  elib; Theoret. and Math. Phys., 201:3 (2019), 1798–1807  isi  scopus 1
3. A. A. Salatich, S. Yu. Slavyanov, O. L. Stesik, “Systems of first order ODE generating confluent Heun equations”, Zap. Nauchn. Sem. POMI, 485 (2019),  187–194  mathnet
2018
4. M. V. Babich, S. Yu. Slavyanov, “Links from second-order Fuchsian equations to first-order linear systems”, Zap. Nauchn. Sem. POMI, 468 (2018),  221–227  mathnet; J. Math. Sci. (N. Y.), 240:5 (2019), 646–650  scopus
2017
5. S. Yu. Slavyanov, “Symmetries and apparent singularities for the simplest Fuchsian equations”, TMF, 193:3 (2017),  401–408  mathnet  elib; Theoret. and Math. Phys., 193:3 (2017), 1754–1760  isi  scopus 6
6. S. Yu. Slavyanov, A. A. Salatich, “Confluent Heun equation and confluent hypergeometric equation”, Zap. Nauchn. Sem. POMI, 462 (2017),  93–102  mathnet; J. Math. Sci. (N. Y.), 232:2 (2018), 157–163  scopus 2
2016
7. S. Yu. Slavyanov, D. F. Shat'ko, A. M. Ishkhanyan, T. A. Rotinyan, “Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients”, TMF, 189:3 (2016),  371–379  mathnet  mathscinet  elib; Theoret. and Math. Phys., 189:3 (2016), 1726–1733  isi  scopus 10
8. M. M. Stepanova, K. S. Shefov, S. Yu. Slavyanov, “Multifactorial global search algorithm in the problem of optimizing a reactive force field”, TMF, 187:1 (2016),  177–194  mathnet  mathscinet  elib; Theoret. and Math. Phys., 187:1 (2016), 603–617  isi  scopus 1
9. S. Yu. Slavyanov, O. L. Stesik, “Antiquantization of deformed Heun-class equations”, TMF, 186:1 (2016),  142–151  mathnet  mathscinet  elib; Theoret. and Math. Phys., 186:1 (2016), 118–125  isi  scopus 16
10. S. Yu. Slavyanov, O. L. Stesik, “Symbolic generation of Painlevé equations”, Zap. Nauchn. Sem. POMI, 448 (2016),  263–269  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:2 (2017), 345–348  scopus 2
2015
11. S. Yu. Slavyanov, “Antiquantization and the corresponding symmetries”, TMF, 185:1 (2015),  186–191  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1522–1526  isi  scopus 7
12. S. Yu. Slavyanov, “Polynomial degree reduction of a Fuchsian $2{\times}2$ system”, TMF, 182:2 (2015),  223–230  mathnet  mathscinet  elib; Theoret. and Math. Phys., 182:2 (2015), 182–188  isi  scopus 6
13. A. Ya. Kazakov, S. Yu. Slavyanov, “Representations and use of symbolic computations in the theory of Heun equations”, Zap. Nauchn. Sem. POMI, 432 (2015),  162–176  mathnet; J. Math. Sci. (N. Y.), 209:6 (2015), 910–921  scopus 2
2014
14. A. Ya. Kazakov, S. Yu. Slavyanov, “Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV”, TMF, 179:2 (2014),  189–195  mathnet  mathscinet  elib; Theoret. and Math. Phys., 179:2 (2014), 543–549  isi  scopus 10
2011
15. A. Mylläri, S. Yu. Slavyanov, “Integrable dynamical systems generated by quantum models with an adiabatic parameter”, TMF, 166:2 (2011),  261–265  mathnet  mathscinet; Theoret. and Math. Phys., 166:2 (2011), 224–227  isi  scopus 4
2008
16. A. Ya. Kazakov, S. Yu. Slavyanov, “Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation”, TMF, 155:2 (2008),  252–264  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 155:2 (2008), 722–733  isi  scopus 23
2007
17. S. Yu. Slavyanov, F. R. Vukailovich, “Isomonodromic deformations and "antiquantization" for the simplest ordinary differential equations”, TMF, 150:1 (2007),  143–151  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:1 (2007), 123–131  isi  scopus 11
2005
18. V. È. Grikurov, L. V. Ivanov, S. Yu. Slavyanov, R. V. Trepkov, S. A. Fursenko, “On computation of the effective thermal conductivity of building bricks with hollow spaces”, Matem. Mod., 17:9 (2005),  77–84  mathnet  zmath
2003
19. S. Yu. Slavyanov, “Equation for a Product of Solutions of Two Different Schrödinger Equations”, TMF, 136:3 (2003),  410–417  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 136:3 (2003), 1251–1257  isi 1
20. S. Yu. Slavyanov, “Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems”, Zap. Nauchn. Sem. POMI, 300 (2003),  245–249  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2822–2824
2002
21. X. Dosch, S. Yu. Slavyanov, “Method of Local Peak Functions for Reconstructing the Original Profile in the Fourier Transformation”, TMF, 131:1 (2002),  15–25  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 131:1 (2002), 459–467  isi 1
2000
22. S. Yu. Slavyanov, “Isomonodromic deformations of Heun and Painlevé equations”, TMF, 123:3 (2000),  395–406  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 123:3 (2000), 744–753  isi 16
1999
23. S. Yu. Slavyanov, “Recurrent calculations of multipole matrix elements”, TMF, 120:3 (1999),  473–481  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 120:3 (1999), 1213–1219  isi 4
24. S. Yu. Slavyanov, “Structural theory of special functions”, TMF, 119:1 (1999),  3–19  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 119:1 (1999), 393–406  isi 5
25. S. Yu. Slavyanov, W. Lay, A. M. Akopyan, A. B. Pirozhnikov, V. Yu. Dmitriev, A. B. Yazik, V. Zhegunov, “Knowledge base on special functions”, Zap. Nauchn. Sem. POMI, 258 (1999),  345–354  mathnet  zmath; J. Math. Sci. (New York), 108:6 (2002), 1160–1167
1996
26. W. Lay, A. Ya. Kazakov, S. Yu. Slavyanov, “Eigenvalue problems for equations of the Heun class”, Algebra i Analiz, 8:2 (1996),  129–141  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:2 (1997), 281–289 3
27. A. Ya. Kazakov, S. Yu. Slavyanov, “Integral relations for special functions of hypergeometric and Heun class”, TMF, 107:3 (1996),  388–396  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 107:3 (1996), 733–739  isi 21
1995
28. A. Seeger, W. Lay, S. Yu. Slavyanov, “Confluence of Fuchsian second-order differential equations”, TMF, 104:2 (1995),  233–247  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 104:2 (1995), 950–960  isi 10
1991
29. J. Cohen, S. Yu. Slavyanov, “Quasiclassical asymptotics of the spectrum for lower states of an anharmonic oscillator”, Algebra i Analiz, 3:2 (1991),  132–138  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:2 (1992), 355–361 3
1985
30. S. Yu. Slavyanov, “On the question of the Stokes phenomenon for the equation $y''(z)-z^my(z)=0$”, Dokl. Akad. Nauk SSSR, 285:3 (1985),  601–604  mathnet  mathscinet  zmath
1974
31. S. Yu. Slavyanov, “Quasy-Optical Modes of the Jumping Ball Type Inside the Oblate Spheroid”, Zap. Nauchn. Sem. LOMI, 42 (1974),  239–243  mathnet
1969
32. S. Yu. Slavyanov, “Asymptotic behavior of singular Sturm–Liouville problems for large parameter in the case of nearby transition points”, Differ. Uravn., 5:2 (1969),  313–325  mathnet  mathscinet  zmath 6
1967
33. S. Yu. Slavyanov, “Asymptotic representations for prolate spheroidal functions”, Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1001–1010  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:5 (1967), 50–62 4
2003
34. V. M. Babich, S. Yu. Slavyanov, “Remembering V. F. Lazutkin”, Zap. Nauchn. Sem. POMI, 300 (2003),  23–24  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2686
2002
35. X. Dosch, S. Yu. Slavyanov, “Method of Local Peak Functions for Reconstructing the Original Profile in the Fourier Transformation [Erratum]”, TMF, 131:2 (2002),  352  mathnet  mathscinet

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