A series solution of the general Heun equation in terms of incomplete Beta functions

We show that in the particular case when a characteristic exponent of the singularity at infinity is zero the solution of the general Heun equation can be expanded in terms of the incomplete Beta functions. By means of termination of the series, closed-form solutions are derived for two infinite set...

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Veröffentlicht in:	arXiv.org 2015-10
Hauptverfasser:	Manukyan, A M, Ishkhanyan, T A, Hakobyan, M V, Ishkhanyan, A M
Format:	Artikel
Sprache:	eng
Schlagworte:	Hypergeometric functions Mathematical analysis Mathematics - Classical Analysis and ODEs Polynomials Thermal expansion
Online-Zugang:	Volltext
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