Hypergeometric τ-Functions of the q-Painleve System of Type E7(1)

被引：10

作者：

Masuda, Tetsu ^{[1
]}

机构：

[1] Aoyama Gakuin Univ, Dept Math & Phys, Kanagawa 2298558, Japan

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2009年 / 5卷

关键词：

q-Painleve system; q-hypergeometric function; Weyl group; tau-function; EQUATIONS;

D O I：

10.3842/SIGMA.2009.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the tau-functions for the hypergeometric solutions to the q-Painleve system of type E-7((1)) in a determinant formula whose entries are given by the basic hypergeometric function W-8(7). By using the W(D-5) symmetry of the function W-8(7), we construct a set of twelve solutions and describe the action of (W) over tilde (D-6((1))) on the set.

引用

页数：30

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