A. Ya. Kazakov, “Euler integral symmetries and the asymptotic of the monodromy for the Heun equation”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 186

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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 186–199 (Mi znsl6966)

Euler integral symmetries and the asymptotic of the monodromy for the Heun equation

A. Ya. Kazakov^ab

^a Saint-Petersburg State University of Aerospace Instrumentation
^b St. Petersburg State University of Technology and Design

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Abstract: Euler integral transform connects monodromy matrices of the Heun equation with different sets of parameters. In this paper, this fact is used to calculate the asymptotic behavior of the monodromy of the Heun confluent equation in the case of the presence of a “combined” singularity.

Key words and phrases: confluent Heun equation, Euler integral transform, connection matrix, asymptotics.

Received: 30.10.2020

Document Type: Article

UDC: 517

Language: Russian

Citation: A. Ya. Kazakov, “Euler integral symmetries and the asymptotic of the monodromy for the Heun equation”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 186–199

Citation in format AMSBIB

\Bibitem{Kaz20}

\by A.~Ya.~Kazakov

\paper Euler integral symmetries and the asymptotic of the monodromy for the Heun equation

\inbook Mathematical problems in the theory of wave propagation. Part~50

\serial Zap. Nauchn. Sem. POMI

\yr 2020

\vol 493

\pages 186--199

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6966}

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https://www.mathnet.ru/eng/znsl/v493/p186

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Abstract page:	74
Full-text PDF :	30
References:	14

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