An elliptic hypergeometric beta integral transformation

Abstract

In this article we prove a new elliptic hypergeometric integral identity. It previously appeared (as a conjecture) in articles by Rains, and Spiridonov and Vartanov. Moreover it gives a different proof of an identity in another article by Rains. We also give some basic hypergeometric and classical limits of this identity. The classical limit gives identities (some known, some new) between generalizations of the Selberg integral.

13 pages

References in corpus (2)

• Essays on the theory of elliptic hypergeometric functions
• Elliptic Littlewood identities

Cited by in corpus (4)

• Multivariate Quadratic Transformations and the Interpolation Kernel
• Elliptic hypergeometric functions associated with root systems
• Two multivariate quadratic transformations of elliptic hypergeometric integrals
• Aspects of elliptic hypergeometric functions