_10E_9 solution to the elliptic Painlev'e equation
可精确求解与可积系统
2007-05-23 v1 量子代数
摘要
A function formalism for Sakai's elliptic Painlev'e equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a simple geometric description of the elliptic Painlev'e equation as a non-autonomous deformation of the addition formula on elliptic curves. By using these formulations, we construct a particular solution of the elliptic Painlev'e equation expressed in terms of the elliptic hypergeometric function_10E_9.
引用
@article{arxiv.nlin/0303032,
title = {_10E_9 solution to the elliptic Painlev'e equation},
author = {Kenji Kajiwara and Masatoshi Noumi and Tetsu Masuda and Yasuhiro Ohta and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0303032},
year = {2007}
}
备注
12 pages