Degenerations of $q$-Heun equation
Classical Analysis and ODEs
2025-05-13 v1
Abstract
We obtain several degenerations of the -Heun equation by considering the linear -difference equations associated to several -Painlev\'e equations. We establish definitions of the confluent -Heun equation, the biconfluent -Heun equation and the doubly confluent -Heun equation, and investigate limit procedures to the corresponding differential equations.
Keywords
Cite
@article{arxiv.2505.06857,
title = {Degenerations of $q$-Heun equation},
author = {Chihiro Sato and Kouichi Takemura},
journal= {arXiv preprint arXiv:2505.06857},
year = {2025}
}
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22 pages