Published May 2011
| Version 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
Identifiers
- Eprint ID
- 23528
- Resolver ID
- CaltechAUTHORS:20110502-150700168
Dates
- Created
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2011-06-29Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field