Gustafson-Rakha-Type Elliptic Hypergeometric Series

Symmetry Integrability and Geometry-Methods and Applications

article

Hjalmar Rosengren¹ 

[1] Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg

关键词: elliptic hypergeometric series;    multivariable hypergeometric series;    Jackson summation;    Bailey transformation;   

DOI  :  10.3842/SIGMA.2017.037

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown