Slavyanov Sergei Yur'evich

Publications in Math-Net.Ru

1. Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation
   
   Rus. J. Nonlin. Dyn., 15:1 (2019),  79–85
2. Bell polynomials in the Mathematica system and asymptotic solutions of integral equations
   
   TMF, 201:3 (2019),  446–456
3. Systems of first order ODE generating confluent Heun equations
   
   Zap. Nauchn. Sem. POMI, 485 (2019),  187–194
4. Links from second-order Fuchsian equations to first-order linear systems
   
   Zap. Nauchn. Sem. POMI, 468 (2018),  221–227
5. Symmetries and apparent singularities for the simplest Fuchsian equations
   
   TMF, 193:3 (2017),  401–408
6. Confluent Heun equation and confluent hypergeometric equation
   
   Zap. Nauchn. Sem. POMI, 462 (2017),  93–102
7. Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
   
   TMF, 189:3 (2016),  371–379
8. Multifactorial global search algorithm in the problem of optimizing a reactive force field
   
   TMF, 187:1 (2016),  177–194
9. Antiquantization of deformed Heun-class equations
   
   TMF, 186:1 (2016),  142–151
10. Symbolic generation of Painlevé equations
    
    Zap. Nauchn. Sem. POMI, 448 (2016),  263–269
11. Antiquantization and the corresponding symmetries
    
    TMF, 185:1 (2015),  186–191
12. Polynomial degree reduction of a Fuchsian $2{\times}2$ system
    
    TMF, 182:2 (2015),  223–230
13. Representations and use of symbolic computations in the theory of Heun equations
    
    Zap. Nauchn. Sem. POMI, 432 (2015),  162–176
14. Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV
    
    TMF, 179:2 (2014),  189–195
15. Integrable dynamical systems generated by quantum models with an adiabatic parameter
    
    TMF, 166:2 (2011),  261–265
16. Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
    
    TMF, 155:2 (2008),  252–264
17. Isomonodromic deformations and "antiquantization" for the simplest ordinary differential equations
    
    TMF, 150:1 (2007),  143–151
18. On computation of the effective thermal conductivity of building bricks with hollow spaces
    
    Mat. Model., 17:9 (2005),  77–84
19. Equation for a Product of Solutions of Two Different Schrödinger Equations
    
    TMF, 136:3 (2003),  410–417
20. Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
    
    Zap. Nauchn. Sem. POMI, 300 (2003),  245–249
21. Method of Local Peak Functions for Reconstructing the Original Profile in the Fourier Transformation
    
    TMF, 131:1 (2002),  15–25
22. Isomonodromic deformations of Heun and Painlevé equations
    
    TMF, 123:3 (2000),  395–406
23. Recurrent calculations of multipole matrix elements
    
    TMF, 120:3 (1999),  473–481
24. Structural theory of special functions
    
    TMF, 119:1 (1999),  3–19
25. Knowledge base on special functions
    
    Zap. Nauchn. Sem. POMI, 258 (1999),  345–354
26. Eigenvalue problems for equations of the Heun class
    
    Algebra i Analiz, 8:2 (1996),  129–141
27. Integral relations for special functions of hypergeometric and Heun class
    
    TMF, 107:3 (1996),  388–396
28. Confluence of Fuchsian second-order differential equations
    
    TMF, 104:2 (1995),  233–247
29. Quasiclassical asymptotics of the spectrum for lower states of an anharmonic oscillator
    
    Algebra i Analiz, 3:2 (1991),  132–138
30. 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
31. Quasy-Optical Modes of the Jumping Ball Type Inside the Oblate Spheroid
    
    Zap. Nauchn. Sem. LOMI, 42 (1974),  239–243
32. Asymptotic behavior of singular Sturm–Liouville problems for large parameter in the case of nearby transition points
    
    Differ. Uravn., 5:2 (1969),  313–325
33. Asymptotic representations for prolate spheroidal functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1001–1010


34. Remembering V. F. Lazutkin
    
    Zap. Nauchn. Sem. POMI, 300 (2003),  23–24
35. Method of Local Peak Functions for Reconstructing the Original Profile in the Fourier Transformation [Erratum]
    
    TMF, 131:2 (2002),  352