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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/204210
Title: Expansions of the Solutions of the General Heun Equation in Terms of the Incomplete Beta Functions
Authors: Shahverdyan, T. A.
Red’kov, V. M.
Ishkhanyan, A. M.
Issue Date: 2016
Publisher: Minsk : Education and Upbringing
Citation: Nonlinear Phenomena in Complex Systems. - 2016. - Vol. 19, N 4. - P. 395-402
Abstract: Applying the approach based on the equation for the derivative, we construct several expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions. Several expansions in terms of the Appell generalized hypergeometric functions of two variables of the first kind are also presented. The constructed expansions are applicable for arbitrary sets of the involved parameters. The coefficients of the expansions obey four-, five- or six-term recurrence relations. However, there exist several sets of the parameters for which the recurrence relations involve fewer terms, not necessarily successive. The conditions for deriving finite-sum solutions via termination of the series are discussed.
URI: http://elib.bsu.by/handle/123456789/204210
ISSN: 1561 - 4085
Appears in Collections:2016. Volume 19. Number 4

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