Hypergeometric $\tau$-Functions of the $q$-Painlev\'e System of Type $E_7^{(1)}$
Exactly Solvable and Integrable Systems
2009-03-25 v1 Classical Analysis and ODEs
Abstract
We present the -functions for the hypergeometric solutions to the -Painlev\'e system of type in a determinant formula whose entries are given by the basic hypergeometric function . By using the symmetry of the function , we construct a set of twelve solutions and describe the action of on the set.
Keywords
Cite
@article{arxiv.0903.4102,
title = {Hypergeometric $\tau$-Functions of the $q$-Painlev\'e System of Type $E_7^{(1)}$},
author = {Tetsu Masuda},
journal= {arXiv preprint arXiv:0903.4102},
year = {2009}
}