Special polynomials and generalized Painleve equations

被引：0

作者：

Yamada, Y ^{[1
]}

机构：

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

来源：

COMBINATORIAL METHODS IN REPRESENTATION THEORY | 2000年 / 28卷

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will review recent developments on the special polynomials arising in Painleve equations and their generalizations.

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页码：391 / 400

页数：10

相关论文

共 14 条

[1] DO INTEGRABLE MAPPINGS HAVE THE PAINLEVE PROPERTY
GRAMMATICOS, B
RAMANI, A
PAPAGEORGIOU, V
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (14) : 1825 - 1828
[2] Determinant structure of the rational solutions for the Painleve II equation
Kajiwara, K
Ohta, Y
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (09) : 4693 - 4704
[3] On the Umemura polynomials for the Painleve III equation
Kajiwara, K
Masuda, T
[J]. PHYSICS LETTERS A, 1999, 260 (06) : 462 - 467
[4] Rational solutions for the discrete Painleve II equation
Kajiwara, K
Yamamoto, K
Ohta, Y
[J]. PHYSICS LETTERS A, 1997, 232 (3-4) : 189 - 199
[5] KAJIWARA K, 1998, J PHYS A, V31, P241
[6] MACDONALD IG, 1992, PUBL IRMA STRASBOURG, P5
[7] Umemura polynomials for the Painleve V equation
Noumi, M
Yamada, Y
[J]. PHYSICS LETTERS A, 1998, 247 (1-2) : 65 - 69
[8] Affine Weyl groups, discrete dynamical systems and Painleve equations
Noumi, M
Yamada, Y
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 199 (02) : 281 - 295
[9] Symmetries in the fourth Painleve equation and Okamoto polynomials
Noumi, M
Yamada, Y
[J]. NAGOYA MATHEMATICAL JOURNAL, 1999, 153 : 53 - 86
[10] NOUMI M, 1997, SPECIAL POLYNOMIALS, V2