Umemura polynomials for the Painleve V equation

被引：22

作者：

Noumi, M ^{[1
]}

Yamada, Y ^{[1
]}

机构：

[1] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

PHYSICS LETTERS A | 1998年 / 247卷 / 1-2期

关键词：

Painleve equations; rational solutions; Schur functions;

D O I：

10.1016/S0375-9601(98)00625-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an explicit formula for the one-parameter family of special polynomials associated with the fifth Painleve equation (Pv) in terms of the Schur functions. Remarkably, our formulae coincide with those for the discrete Painleve II equation (dP(II)), where the roles of the independent variable and the parameter are exchanged. (C) 1998 Elsevier Science B.V.

引用

页码：65 / 69

页数：5

共 9 条

[1] Determinant structure of the rational solutions for the Painleve II equation [J].