Projective reduction of the discrete Painlev\'e system of type $(A_2+A_1)^{(1)}$
Exactly Solvable and Integrable Systems
2010-06-03 v6
Abstract
We consider the q-Painlev\'e III equation arising from the birational representation of the affine Weyl group of type . We study the reduction of the q-Painlev\'e III equation to the q-Painlev\'e II equation from the viewpoint of affine Weyl group symmetry. In particular, the mechanism of apparent inconsistency between the hypergeometric solutions to both equations is clarified by using factorization of difference operators and the functions.
Keywords
Cite
@article{arxiv.0910.4439,
title = {Projective reduction of the discrete Painlev\'e system of type $(A_2+A_1)^{(1)}$},
author = {Kenji Kajiwara and Nobutaka Nakazono and Teruhisa Tsuda},
journal= {arXiv preprint arXiv:0910.4439},
year = {2010}
}
Comments
27 pages, 10 figures