Посилання:Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation / M.J. Schlosser, M. Yoo // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 26 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications.
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nowledgements
The work in this paper has been supported by FWF Austrian Science Fund grant F50-08 within
the SFB “Algorithmic and enumerative combinatorics".
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.