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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 462, Pages 93–102 (Mi znsl6498)  
This article is cited in 3 scientific papers (total in 3 papers)

Confluent Heun equation and confluent hypergeometric equation

S. Yu. Slavyanov, A. A. Salatich

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (165 kB) Citations (3)
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Abstract: The confluent Heun equation and confluent hypergeometric equation are studied in scalar and vector forms with particular emphasis to the role of apparent singularities. The relation to the Painlevé equation is shown.
Key words and phrases: confluent hypergeometric equation, confluent Heun equation, deformed Heun equation, integral symmetries, antiquantization, Painlevé equation.
Received: 04.09.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 2, Pages 157–163
DOI: https://doi.org/10.1007/s10958-018-3865-2
Bibliographic databases:
Document Type: Article
UDC: 517.289+517.923+517.926
Language: Russian
Citation: S. Yu. Slavyanov, A. A. Salatich, “Confluent Heun equation and confluent hypergeometric equation”, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 93–102; J. Math. Sci. (N. Y.), 232:2 (2018), 157–163
Citation in format AMSBIB
\Bibitem{SlaSal17}
\by S.~Yu.~Slavyanov, A.~A.~Salatich
\paper Confluent Heun equation and confluent hypergeometric equation
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 462
\pages 93--102
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6498}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 2
\pages 157--163
\crossref{https://doi.org/10.1007/s10958-018-3865-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047390281}
Linking options:
  • https://www.mathnet.ru/eng/znsl6498
  • https://www.mathnet.ru/eng/znsl/v462/p93
    • This publication is cited in the following 3 articles:
    1. Maria Korovina, Ilya Smirnov, “Method for Investigation of Convergence of Formal Series Involved in Asymptotics of Solutions of Second-Order Differential Equations in the Neighborhood of Irregular Singular Points”, Axioms, 13:12 (2024), 853  crossref
    2. A. A. Salatich, S.Yu. Slavyanov, O. L. Stesik, “First-Order Ode Systems Generating Confluent Heun Equations”, J Math Sci, 251:3 (2020), 427  crossref
    3. T A Ishkhanyan, V P Krainov, A M Ishkhanyan, “Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations”, J. Phys.: Conf. Ser., 1416:1 (2019), 012014  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :126
    References:38
     
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