Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

Symmetry Integrability and Geometry-Methods and Applications

article

Michael J. Schlosser¹  Meesue Yoo¹ 

[1] Fakultät für Mathematik, Universität Wien

关键词: elliptic hypergeometric series;    summations;    Taylor series expansion;    interpolation;   

DOI  :  10.3842/SIGMA.2016.039

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown