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arXiv · 1701.08960

Gustafson-Rakha-Type Elliptic Hypergeometric Series

Hjalmar Rosengren
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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.

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BibTeXRIS

Hjalmar Rosengren. 2017-01-31. Gustafson-Rakha-Type Elliptic Hypergeometric Series. https://doi.org/10.3842/sigma.2017.037

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