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Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation (1602.09027v2)
Published 29 Feb 2016 in math.CA, math.CO, and math.QA
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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