Construction of Hypergeometric Solutions to the q-Painlev\'e Equations
Exactly Solvable and Integrable Systems
2007-05-23 v1 Classical Analysis and ODEs
Abstract
Hypergeometric solutions to the q-Painlev\'e equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so that the linear systems give rise to q-hypergeometric equations.
Keywords
Cite
@article{arxiv.nlin/0501051,
title = {Construction of Hypergeometric Solutions to the q-Painlev\'e Equations},
author = {Kenji Kajiwara and Tetsu Masuda and Masatoshi Noumi and Yasuhiro Ohta and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0501051},
year = {2007}
}
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17 pages