Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

被引：12

作者：

Rosengren, H

Schlosser, M ^{[1
]}

机构：

[1] Chalmers Univ Technol, Dept Math, SE-41296 Gothenburg, Sweden

[2] Univ Gothenburg, SE-41296 Gothenburg, Sweden

[3] Univ Vienna, Inst Math, A-1090 Vienna, Austria

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2003年 / 14卷 / 3-4期

关键词：

(10)phi(9) transformations; (8)phi(7) summations; (1)upsilon(1) summations; basic hypergeometric series; multiple q-integrals; C-r series; A(r-1) series; elliptic hypergeometric series;

D O I：

10.1016/S0019-3577(03)90058-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey's nonterminating (10)phi(9) transformation. From this result, we deduce new multivariable terminating (10)phi(9) transformations, (8)phi(7) summations and other identities. We also use similar methods to derive new multivariable (1)psi(1) summations. Some of our results are extended to the case of elliptic hypergeometric series.

引用

页码：483 / 513

页数：31

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