An elliptic hypergeometric integral with W(F_4) symmetry

Details An elliptic hypergeometric integral with W(F_4) symmetry An elliptic hypergeometric integral with W(F_4) symmetry

2009-09-25

arxiv.org/abs/0909.4793v1

The Ramanujan Journal, Volume 25, Issue 1 (2011), 1-20

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1007/s11139-010-9273-y

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. Moreover we consider various limits of this transformation to basic hypergeometric functions obtained by letting p tend to 0.

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