The Pad\'e interpolation method applied to $q$-Painlev\'e equations
Mathematical Physics
2016-01-07 v2 Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
We establish interpolation problems related to all the -Painlev\'e equations of types from to . By solving those problems, we can derive the evolution equations, the scalar Lax pairs and the determinant formulae of special solutions for the corresponding -Painlev\'e equations.
Cite
@article{arxiv.1409.3932,
title = {The Pad\'e interpolation method applied to $q$-Painlev\'e equations},
author = {Hidehito Nagao},
journal= {arXiv preprint arXiv:1409.3932},
year = {2016}
}
Comments
16 pages