Gustafson-Rakha-Type Elliptic Hypergeometric Series
Artikel i vetenskaplig tidskrift, 2017

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.

elliptic hypergeometric series

multivariable hypergeometric series

Bailey transformation

Jackson summation

Författare

Hjalmar Rosengren

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Göteborgs universitet

Symmetry, Integrability and Geometry - Methods and Applications

1815-0659 (ISSN)

Vol. 13 Article Number: 037- 037

Ämneskategorier

Matematisk analys

DOI

10.3842/sigma.2017.037

Mer information

Skapat

2017-10-08