Pad\'e interpolation for elliptic Painlev\'e equation
Mathematical Physics
2012-08-10 v2 Algebraic Geometry
math.MP
Abstract
An interpolation problem related to the elliptic Painlev\'e equation is formulated and solved. A simple form of the elliptic Painlev\'e equation and the Lax pair are obtained. Explicit determinant formulae of special solutions are also given.
Cite
@article{arxiv.1204.0294,
title = {Pad\'e interpolation for elliptic Painlev\'e equation},
author = {Masatoshi Noumi and Satoshi Tsujimoto and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:1204.0294},
year = {2012}
}
Comments
17 pages. Dedicated to Professor Michio Jimbo on his 60th birthday. To appear in the proceedings of the international workshop "Infinite Analysis 11"