Hypergeometric solutions to the symmetric q-Painlev\'e equations
Exactly Solvable and Integrable Systems
2013-10-14 v3 Mathematical Physics
math.MP
Abstract
We consider the symmetric q-Painlev\'e equations derived from the birational representation of affine Weyl groups by applying the projective reduction and construct the hypergeometric solutions. Moreover, we discuss continuous limits of the symmetric q-Painlev\'e equations to Painlev\'e equations together with their hypergeometric solutions.
Cite
@article{arxiv.1304.0858,
title = {Hypergeometric solutions to the symmetric q-Painlev\'e equations},
author = {Kenji Kajiwara and Nobutaka Nakazono},
journal= {arXiv preprint arXiv:1304.0858},
year = {2013}
}
Comments
32 pages and 4 figures