Gustafson-Rakha-Type Elliptic Hypergeometric Series
Classical Analysis and ODEs
2017-06-02 v3 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1701.08960,
title = {Gustafson-Rakha-Type Elliptic Hypergeometric Series},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:1701.08960},
year = {2017}
}