van de Bult, Fokko J. (2011) An elliptic hypergeometric integral with W(F_4) symmetry. Ramanujan Journal, 25 (1). pp. 1-20. ISSN 1382-4090 http://resolver.caltech.edu/CaltechAUTHORS:20110502-150700168
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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.
| Item Type: | Article |
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| 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. |
| Subject Keywords: | Elliptic hypergeometric integrals; Degenerations; Beta integrals |
| Classification Code: | Mathematics Subject Classification (2000): 33D60 |
| Record Number: | CaltechAUTHORS:20110502-150700168 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20110502-150700168 |
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 23528 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Tony Diaz |
| Deposited On: | 29 Jun 2011 22:19 |
| Last Modified: | 30 Aug 2011 21:49 |
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