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arxiv: 1602.09027 · v2 · pith:FDHR5G4Znew · submitted 2016-02-29 · 🧮 math.CA · math.CO· math.QA

Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

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keywords ellipticseriescasehypergeometricinterpolationsummationstaylorbeen
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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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