Hypergeometric solutions to the q-painleve equations

被引：0

作者：

Kajiwara, K

Masuda, T

Noumi, M

Ohta, Y

Yamada, Y

机构：

[1] Kyushu Univ, Gras Sch Math, Fukuoka 8128581, Japan

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

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2004年 / 2004卷 / 47期

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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：

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页码：2497 / 2521

页数：25

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共 18 条

[1] GASPER G, 1990, ENCY MATH ITS APPL, V35
[2] Contiguous relations, continued fractions and orthogonality
Gupta, DP
Masson, DR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (02) : 769 - 808
[3] CONTIGUOUS RELATIONS, BASIC HYPERGEOMETRIC-FUNCTIONS, AND ORTHOGONAL POLYNOMIALS .2. ASSOCIATED BIG Q-JACOBI POLYNOMIALS
GUPTA, DP
ISMAIL, MEH
MASSON, DR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (02) : 477 - 497
[4] THE ASSOCIATED ASKEY-WILSON POLYNOMIALS
ISMAIL, MEH
RAHMAN, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 328 (01) : 201 - 237
[5] Iwasaki K, 1991, ASPECTS MATH E, VE16
[6] A q-analog of the sixth Painleve equation
Jimbo, M
Sakai, H
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1996, 38 (02) : 145 - 154
[7] 10E9 solution to the elliptic Painleve equation
Kajiwara, K
Masuda, T
Noumi, M
Ohta, Y
Yamada, Y
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (17): : L263 - L272
[8] On a q-difference Painleve III equation:: I.: Derivation, symmetry and Riccati type solutions
Kajiwara, K
Kimura, K
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (01) : 86 - 102
[9] A study on the fourth q-Painleve equation
Kajiwara, K
Noumi, M
Yamada, Y
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (41): : 8563 - 8581
[10] Koekoek R., 1998, Tech. Rep. 98-17