Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
Classical Analysis and ODEs
2016-04-20 v2 Combinatorics
Quantum Algebra
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 -case have previously been obtained by Cooper and by Ismail and Stanton. We also provide identities involving S. Bhargava's cubic theta functions.
Cite
@article{arxiv.1602.09027,
title = {Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation},
author = {Michael J. Schlosser and Meesue Yoo},
journal= {arXiv preprint arXiv:1602.09027},
year = {2016}
}