Michael J. Schlosser and Meesue Yoo
Elliptic hypergeometric summations by Taylor series expansion
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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