Hypergeometric $\tau$ Function of the $q$-Painlev\'e Systems of Type $(A_2+A_1)^{(1)}$
Exactly Solvable and Integrable Systems
2010-10-15 v2 Classical Analysis and ODEs
Abstract
We consider a -Painlev\'e III equation and a -Painlev\'e II equation arising from a birational representation of the affine Weyl group of type . We study their hypergeometric solutions on the level of functions.
Keywords
Cite
@article{arxiv.1008.2595,
title = {Hypergeometric $\tau$ Function of the $q$-Painlev\'e Systems of Type $(A_2+A_1)^{(1)}$},
author = {Nobutaka Nakazono},
journal= {arXiv preprint arXiv:1008.2595},
year = {2010}
}