Michael J. Schlosser and Meesue Yoo

Elliptic hypergeometric summations by Taylor series expansion and interpolation

(21 pages)

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 q-case have previously been obtained by Cooper and by Ismail and Stanton. We also provide identities involving S. Bhargava's cubic theta functions.

For a PDF version, click here

Back to Michael Schlosser's home page.