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arXiv · 1602.09027

Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

Michael J. Schlosser·Meesue Yoo
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Abstract

We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the $q$-case have previously been obtained by Cooper and by Ismail and Stanton. We also provide identities involving S. Bhargava's cubic theta functions.

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BibTeXRIS

Michael J. Schlosser, Meesue Yoo. 2016-02-29. Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation. https://doi.org/10.3842/sigma.2016.039

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