Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

preprint2016arXivOpen access

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 qq-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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