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arXiv · 1805.06519

Hypergeometric expansions of the general Heun function governed by two-term recurrence relations

T. A. Ishkhanyan·A. M. Ishkhanyan
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Abstract

We show that there exist infinitely many particular choices of parameters for which the three-term recurrence relations governing the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions become two-term. In these cases the coefficients are explicitly written in terms of the gamma functions.

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T. A. Ishkhanyan, A. M. Ishkhanyan. 2018-05-04. Hypergeometric expansions of the general Heun function governed by two-term recurrence relations. https://arxiv.org/abs/1805.06519

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