Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Authors: Schlosser, M.J., Yoo, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147739
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 involvin...