Generalized hypergeometric solutions of the Heun equation
Classical Analysis and ODEs
2020-03-27 v2
Abstract
We present infinitely many solutions of the general Heun equation in terms of generalized hypergeometric functions. Each solution assumes that two restrictions are imposed on the involved parameters: a characteristic exponent of one of the singularities should be a non-zero integer, and the accessory parameter must satisfy a polynomial equation.
Keywords
Cite
@article{arxiv.1802.04263,
title = {Generalized hypergeometric solutions of the Heun equation},
author = {A. M. Ishkhanyan},
journal= {arXiv preprint arXiv:1802.04263},
year = {2020}
}