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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 55–71
(Mi znsl1391)
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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
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
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
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https://www.mathnet.ru/eng/znsl1391 https://www.mathnet.ru/eng/znsl/v275/p55
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Abstract page: | 335 | Full-text PDF : | 179 |
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