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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 55–71 (Mi znsl1391)  
This article is cited in 8 scientific papers (total in 8 papers)

Symmetries of the confluent Heun equation

A. Ya. Kazakov

Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (285 kB) Citations (8)
Abstract: The group of the discrete symmetries of the confluent Heun equation is under consideration. This group has as generators the elementary symmetries and the integral symmetries. Such lead to the corresponding symmetries of the connection matrix, which describe the relations between the different fundamental sets of the solutions. The symmetry of the confluent Heun equation with respect to the integral Laplace transform leads to the corresponding relations between the Stokes parameters and connection matrix.
Received: 15.08.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 3918–3927
DOI: https://doi.org/10.1023/A:1024610623568
Bibliographic databases:
UDC: 517.589+517.925.7
Language: Russian
Citation: A. Ya. Kazakov, “Symmetries of the confluent Heun equation”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 55–71; J. Math. Sci. (N. Y.), 117:2 (2003), 3918–3927
Citation in format AMSBIB
\Bibitem{Kaz01}
\by A.~Ya.~Kazakov
\paper Symmetries of the confluent Heun equation
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 55--71
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854500}
\zmath{https://zbmath.org/?q=an:1091.34051}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 3918--3927
\crossref{https://doi.org/10.1023/A:1024610623568}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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