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Published May 2011 | public
Journal Article

An elliptic hypergeometric integral with W(F_4) symmetry

Abstract

In this article we give a new transformation between elliptic hypergeometric beta integrals, which gives rise to a Weyl group symmetry of type F_4. The transformation is a generalization of a series transformation discovered by Langer, Schlosser, and Warnaar (SIGMA 5:055, 2009). Moreover we consider various limits of this transformation to basic hypergeometric functions obtained by letting p tend to 0.

Additional Information

© 2010 Springer Science+Business Media, LLC. Received: 29 October 2009. Accepted: 31 August 2010. Published online: 26 February 2011. I would like to thank Ole Warnaar for pointing out the new elliptic hypergeometric series transformation to me and for our interesting discussions. I would also like to thank Eric Rains for his comments. Finally I would like to thank the referees for their remarks.

Additional details

Created:
August 22, 2023
Modified:
October 23, 2023