Hypergeometric solutions for variants of the $q$-hypergeometric equation
Classical Analysis and ODEs
2025-10-21 v2
Abstract
We introduce a configuration of a -difference equation and characterize the variants of the -hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the -hypergeometric equation.
Keywords
Cite
@article{arxiv.2207.12777,
title = {Hypergeometric solutions for variants of the $q$-hypergeometric equation},
author = {Taikei Fujii and Takahiko Nobukawa},
journal= {arXiv preprint arXiv:2207.12777},
year = {2025}
}
Comments
38 pages. Incorrect results are deleted in v2