Solutions to variant of $q$-hypergeometric equation of degree 2 associated with $q$-middle convolution
Classical Analysis and ODEs
2026-02-27 v3
Abstract
We investigate the integral representations of solutions to the variant of -hypergeometric equation of degree 2 obtained through -middle convolution by using transformation formulas for -hypergeometric series. We show the correspondence between these integral solutions and solutions obtained by other methods. We also show the linear relationships among the integral solutions.
Keywords
Cite
@article{arxiv.2403.02662,
title = {Solutions to variant of $q$-hypergeometric equation of degree 2 associated with $q$-middle convolution},
author = {Yumi Arai},
journal= {arXiv preprint arXiv:2403.02662},
year = {2026}
}
Comments
Version 3 is a shortened form of v2 with a modified title