An elliptic determinant transformation

Abstract

We prove a transformation formula relating two determinants involving elliptic shifted factorials. Similar determinants have been applied to multiple elliptic hypergeometric series.

6 pages

References in corpus (3)

• Summation and transformation formulas for elliptic hypergeometric series
• Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
• A proof of a multivariable elliptic summation formula conjectured by Warnaar