Hypergeometric expansions of the general Heun function governed by two-term recurrence relations
Classical Analysis and ODEs
2018-05-18 v1
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.
Keywords
Cite
@article{arxiv.1805.06519,
title = {Hypergeometric expansions of the general Heun function governed by two-term recurrence relations},
author = {T. A. Ishkhanyan and A. M. Ishkhanyan},
journal= {arXiv preprint arXiv:1805.06519},
year = {2018}
}