A $q$-anaolg of the sixth Painlev\'e equation
chao-dyn
2009-10-28 v2 Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
A -difference analog of the sixth Painlev\'e equation is presented. It arises as the condition for preserving the connection matrix of linear -difference equations, in close analogy with the monodromy preserving deformation of linear differential equations. The continuous limit and special solutions in terms of -hypergeometric functions are also discussed.
Cite
@article{arxiv.chao-dyn/9507010,
title = {A $q$-anaolg of the sixth Painlev\'e equation},
author = {Michio Jimbo and Hidetaka Sakai},
journal= {arXiv preprint arXiv:chao-dyn/9507010},
year = {2009}
}
Comments
8 pages, LaTeX file (Two misprints corrected)