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arXiv · 1903.08162

Generalized-hypergeometric solutions of the biconfluent Heun equation

D. Yu. Melikdzhanian·A. M. Ishkhanyan
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Abstract

We examine the power-series solutions and the series solutions in terms of the Hermite functions for the biconfluent Heun equation. Infinitely many cases for which a solution of the biconfluent equation is presented as an irreducible linear combination of four generalized hypergeometric functions, that in general do not reduce to polynomials, are identified.

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D. Yu. Melikdzhanian, A. M. Ishkhanyan. 2019-03-19. Generalized-hypergeometric solutions of the biconfluent Heun equation. https://arxiv.org/abs/1903.08162

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