Rational Solutions for the Discrete Painlev\'e II Equation
solv-int
2009-10-30 v1 可精确求解与可积系统
摘要
The rational solutions for the discrete Painlev\'e II equation are constructed based on the bilinear formalism. It is shown that they are expressed by the determinant whose entries are given by the Laguerre polynomials. Continuous limit to the Devisme polynomial representation of the rational solutions for the Painlev\'e II equation is also discussed.
引用
@article{arxiv.solv-int/9702001,
title = {Rational Solutions for the Discrete Painlev\'e II Equation},
author = {Kenji Kajiwara and Kazushi Yamamoto and Yasuhiro Ohta},
journal= {arXiv preprint arXiv:solv-int/9702001},
year = {2009}
}
备注
12 pages, latex