• 204 Citations by Pure records
  • 7 h-Index by Pure records
1968 …2019
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Research Output 1968 2019

2019

Antiquantization as a specific way from the Statistical physics to the Regular physics

Slavyanov, S. & Stesik, O., 1 May 2019, In : Physica A: Statistical Mechanics and its Applications. 521, p. 512-518 7 p.

Research output: Contribution to journalReview articleResearchpeer-review

Antiquantization of the Double Confluent Heun equation. Teukolsky equation

Славянов, С. Ю. & Салатич, А., 2019, In : RJND. 15, 1

Research output: Contribution to journalArticleResearchpeer-review

2018
2 Citations (Scopus)

Antiquantization, isomonodromy, and integrability: Dedicated to the memory of Ludwig Faddeev

Бабич, М. В. & Славянов, С. Ю., 21 Sep 2018, In : Journal of Mathematical Physics. 59, p. 1-11 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Confluent Heun Equation and Confluent Hypergeometric Equation

Slavyanov, S. Y. & Salatich, A. A., 1 Jul 2018, In : Journal of Mathematical Sciences (United States). 232, 2, p. 157-163 7 p.

Research output: Contribution to journalArticleResearch

Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

Babich, M. V. & Slavyanov, S. Y., 29 Nov 2018, Proceedings of the International Conference Days on Diffraction, DD 2018. Kazakov, A. Y., Kiselev, A. P., Goray, L. I. & Motygin, O. V. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 24-26 3 p. 8553422

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

1 Citation (Scopus)

Symbolic Generation of Painlevé Equations

Slavyanov, S. Y. & Stesik, O. L., 1 Jul 2017, In : Journal of Mathematical Sciences (United States). 224, 2, p. 345-348 4 p.

Research output: Contribution to journalArticleResearch

5 Citations (Scopus)

Symmetries and apparent singularities for the simplest Fuchsian equations

Slavyanov, S. Y., 1 Dec 2017, In : Theoretical and Mathematical Physics(Russian Federation). 193, 3, p. 1754-1760 7 p.

Research output: Contribution to journalArticleResearchpeer-review

2016
8 Citations (Scopus)

Antiquantization of deformed Heun-class equations

Славянов, С. Ю. & Stesik, O., 2016, In : Theoretical and Mathematical Physics. 186, 1, p. 142-151 10 p.

Research output: Contribution to journalArticleResearchpeer-review

Generation and removal of apparent singularities in linear ordinary differential equations withpolynomial coefficients

Shatko D.F., Ishkhanyan A.M., Rotinyan T.A. , 2016, In : Theoretical and Mathematical Physics. 189, 3, p. 371-379 9 p.

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients

Slavyanov, S. Y., Satco, D. A., Ishkhanyan, A. M. & Rotinyan, T. A., 1 Dec 2016, In : Theoretical and Mathematical Physics(Russian Federation). 189, 3, p. 1726-1733 8 p.

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Multifactorial global search algorithm in the problem of optimizing a reactive force field

Stepanova, M. M., Shefov, K. S. & Slavyanov, S. Y., 2016, In : Theoretical and Mathematical Physics. 187, 1, p. 603–617

Research output: Contribution to journalArticleResearch

Символьная генерация уравнений Пенлеве

Славянов, С. Ю. & Стесик, О. Л., 2016, Символьная генерация уравнений Пенлеве. Зап. научн. сем. ПОМИ ed. Vol. 448. p. 263-269 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

2015
5 Citations (Scopus)

Antiquantization and the corresponding symmetries

Slavyanov, S. Y., 2015, In : Theoretical and Mathematical Physics. 1, p. 1522-1526

Research output: Contribution to journalArticleResearch

Antiquantization of deformed equations of Heun class

Slavyanov, S., 2015, Proceedings of the International Conference Days on Diffraction 2015, DD 2015. Days on Diffraction (DD0-2015 ed. Institute of Electrical and Electronics Engineers Inc., p. 310-312 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

4 Citations (Scopus)

Polynomial degree reduction of a Fuchsian 2×2 system

Slavyanov, S. Y., 2015, In : Theoretical and Mathematical Physics. 2, p. 182-188

Research output: Contribution to journalArticleResearch

POLYNOMIAL DEGREE REDUCTION OF A FUCHSIAN 2x2 SYSTEM

Slavyanov, S. Y., 2015, In : Theoretical and Mathematical Physics. 182, 2, 7 p.

Research output: Contribution to journalArticleResearch

Representations and Use of Symbolic Computations in the Theory of Heun Equations

Kazakov, A. Y. & Slavyanov, S. Y., 2015, In : Journal of Mathematical Sciences. 6, p. 910-921

Research output: Contribution to journalArticleResearchpeer-review

Representations and Use of Symbolic Computations in the Thery of Heun Equations

Kazakov, A. Y. & Slavyanov, S. Y., 2015, In : Journal of Mathematical Sciences. 209, p. 910-921

Research output: Contribution to journalArticleResearchpeer-review

2014
6 Citations (Scopus)

Euler integral symmetries for the confluent Heun equation and symmetries of the Painlevé equation PV

Kazakov, A. Y. & Slavyanov, S. Y., 1 May 2014, In : Theoretical and Mathematical Physics(Russian Federation). 179, 2, p. 543-549 7 p.

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Relations between linear equations and Painleve's equations

Slavyanov, S. Y., 2014, In : Constructive Approximation. 39, 1, p. 75-83

Research output: Contribution to journalArticleResearch

2012

Antiquantization of quantum models as a tool for generating Painlev'e equations (Chapter 33)

Slavyanov, S. Y., 2012, Painleve equations and related topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011/Ed. by Bruno Alexander D. and Batkhin Alexander B. - (De Gruyter Proceedings in Mathematics). De Gruyter, p. 274, 253-256

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Euler integral symmetries for confluent Heun equation and symmetries of Painlev'e equation P5 (Chapter 30)

Kazakov, A. Y. & Slavyanov, S. Y., 2012, Painleve equations and related topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011/Ed. by Bruno Alexander D. and Batkhin Alexander B. - (De Gruyter Proceedings in Mathematics). De Gruyter, p. 274, 237-240

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2011
3 Citations (Scopus)

Integrable dynamical systems generated by quantum models with an adiabatic parameter

Myllari, A. & Slavyanov, S. Y., 2011, In : Theoretical and Mathematical Physics. 166, 2, 4 p.

Research output: Contribution to journalArticleResearch

2010

One class of third order linear ODE's

Slavyanov, S. Y., 2010, Lectur Notes in Computer Science - Computer Algebra and Scientific Computing. p. 232-237

Research output: Chapter in Book/Report/Conference proceedingArticle in an anthologyResearch

Relations between Heun Equations and Painleve Equations

Slavyanov, S. Y., Kazakov, A. Y. & Vukaylovic, F. R., 2010, In : Albanian Journal of Mathematics. 4, 4, p. 195-201

Research output: Contribution to journalArticleResearchpeer-review

2008

Effective thermal conductivity of ceramic blocks with inner ducts

Grikurov, V. E., Slavyanov, S. Y. & Trepkov, R. V., 1 Dec 2008, 2008 Proceedings of the International Conference Days on Diffraction, DD 2008. p. 57-59 3 p. 5072313

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearch

15 Citations (Scopus)

Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation

Kazakov, A. Y. & Slavyanov, S. Y., 1 May 2008, In : Theoretical and Mathematical Physics. 155, 2, p. 722-733 12 p.

Research output: Contribution to journalArticleResearchpeer-review

2007
7 Citations (Scopus)

Isomonodromic deformations and "antiquantization" for the simplest ordinary differential equations

Slavyanov, S. Y. & Vukajlović, F. R., 1 Jan 2007, In : Theoretical and Mathematical Physics. 150, 1, p. 123-131 9 p.

Research output: Contribution to journalArticleResearchpeer-review

2005

Differential and difference equations for products of classical orthogonal polynomials

Slavyanov, S. & Papshev, V., 1 Dec 2005, Computer Algebra in Scientific Computing - 8th International Workshop, CASC 2005, Proceedings. p. 399-404 6 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 3718 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems

Slavyanov, S. Y., 1 Jul 2005, In : Journal of Mathematical Sciences. 128, 2, p. 2822-2824 3 p.

Research output: Contribution to journalArticleResearchpeer-review

2003
1 Citation (Scopus)

EQUATION FOR A PRODUCT OF SOLUTIONS OF TWO DIFFERENT SCHRÖDINGER EQUATIONS

Slavyanov, S. Y., 2003, In : Theoretical and Mathematical Physics. 3, p. 1251-1257

Research output: Contribution to journalArticleResearch

2002
1 Citation (Scopus)

A knowledge base on special functions

Slavyanov, S. Y., Lay, W., Akopyan, A. M., Pirozhnikov, A. B., Dmitriev, V. Y., Yazik, A. B. & Zhegunov, V., 1 Jan 2002, In : Journal of Mathematical Sciences. 108, 6, p. 1160-1167 8 p.

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Method of local peak functions for reconstructing the original profile in the Fourier transformation

Dosch, H. & Slavyanov, S. Y., 1 Dec 2002, In : Theoretical and Mathematical Physics. 131, 1, p. 459-467 9 p.

Research output: Contribution to journalArticleResearchpeer-review

2000
9 Citations (Scopus)

ISOMONODROMIC DEFORMATIONS OF HEUN AND PAINLEVÉ EQUATIONS

Slavyanov, S. Y., 2000, In : Theoretical and Mathematical Physics. 3, p. 744-753

Research output: Contribution to journalArticleResearch

2 Citations (Scopus)

Rigorous mathematical models for the reconstruction of thin films profiles from X-ray intensities

Slavyanov, S., Ern, C. & Dosch, H., 1 Jan 2000, p. 161-167. 7 p.

Research output: Contribution to conferencePaperResearch

Special functions: a unified theory based on singularities

Slavyanov, S. Y. & Lay, W., 2000, Oxford University Press.

Research output: Book/Report/AnthologyBookResearch

1 Citation (Scopus)

The equation for a product of solutions of two second-order linear ODEs

Slavyanov, S. Y., 1 Jan 2000, p. 168-171. 4 p.

Research output: Contribution to conferencePaperResearchpeer-review

1999
7 Citations (Scopus)

Heun's equation with nearby singularities

Lay, W. & Slavyanov, S. Y., 1 Jan 1999, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 455, 1992, p. 4347-4361 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Multipole matrix elements

Slavyanov, S. Y., 1 Jan 1999, International Seminar: Day on Diffraction - Proceedings. Grikuro, V. E., Babic, V. M., Androno, I. V., Buldyrev, V. S. & Kiselev, A. P. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 189-195 7 p. 816200. (International Seminar: Day on Diffraction - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

4 Citations (Scopus)

Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation

Slavyanov, S. Y., 5 Mar 1999, In : Journal of Physics A: Mathematical and General. 32, 9, p. 1773-1778 6 p.

Research output: Contribution to journalArticleResearchpeer-review