Kernel Function, $q$-Integral Transformation and $q$-Heun Equations
Classical Analysis and ODEs
2024-09-20 v3 Mathematical Physics
math.MP
Abstract
We find kernel functions of the -Heun equation and its variants. We apply them to obtain -integral transformations of solutions to the -Heun equation and its variants. We discuss special solutions of the -Heun equation from the perspective of the -integral transformation.
Cite
@article{arxiv.2309.09341,
title = {Kernel Function, $q$-Integral Transformation and $q$-Heun Equations},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:2309.09341},
year = {2024}
}