q-Heun equation and initial-value space of q-Painlev\'e equation
Classical Analysis and ODEs
2021-10-27 v1 Mathematical Physics
math.MP
Abstract
We show that the q-Heun equation and its variants appear in the linear q-difference equations associated to some q-Painlev\'e equations by considering the blow-up associated to their initial-value spaces. We obtain the firstly degenerated Ruijsenaars-van Diejen operator from the linear q-difference equation associated to the q-Painlev\'e equation of type .
Keywords
Cite
@article{arxiv.2110.13860,
title = {q-Heun equation and initial-value space of q-Painlev\'e equation},
author = {Shoko Sasaki and Shun Takagi and Kouichi Takemura},
journal= {arXiv preprint arXiv:2110.13860},
year = {2021}
}
Comments
24 pages