Generalized-hypergeometric solutions of the biconfluent Heun equation
Classical Analysis and ODEs
2019-07-31 v2
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.
Cite
@article{arxiv.1903.08162,
title = {Generalized-hypergeometric solutions of the biconfluent Heun equation},
author = {D. Yu. Melikdzhanian and A. M. Ishkhanyan},
journal= {arXiv preprint arXiv:1903.08162},
year = {2019}
}