Hypergeometric solutions to the q-Painlev\'e equation of type $A_4^{(1)}$
Exactly Solvable and Integrable Systems
2009-11-13 v1 Classical Analysis and ODEs
Abstract
We consider the q-Painlev\'e equation of type (a version of q-Painlev\'e V equation) and construct a family of solutions expressible in terms of certain basic hypergeometric series. We also present the determinant formula for the solutions.
Keywords
Cite
@article{arxiv.nlin/0701001,
title = {Hypergeometric solutions to the q-Painlev\'e equation of type $A_4^{(1)}$},
author = {Taro Hamamoto and Kenji Kajiwara},
journal= {arXiv preprint arXiv:nlin/0701001},
year = {2009}
}
Comments
16 pages, IOP style