Gustafson-Rakha-Type Elliptic Hypergeometric Series

被引：2

作者：

Rosengren, Hjalmar ^{[1
,2
]}

机构：

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

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

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2017年 / 13卷

关键词：

elliptic hypergeometric series; multivariable hypergeometric series; Jackson summation; Bailey transformation; SUMMATION; TRANSFORMATIONS; FORMULAS;

D O I：

10.3842/SIGMA.2017.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations. The latter four results are all new even in the trigonometric case.

引用

页数：11

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