Hypergeometric solutions to the q-Painlev\'e equations
Exactly Solvable and Integrable Systems
2007-05-23 v1 Algebraic Geometry
Abstract
Hypergeometric solutions to seven q-Painlev\'e equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlev\'e equations to the three-term recurrence relations for q-hypergeometric functions.
Cite
@article{arxiv.nlin/0403036,
title = {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/0403036},
year = {2007}
}
Comments
17 pages