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In this article we give a new transformation between elliptic hypergeometricbeta integrals, which gives rise to a Weyl group symmetry of type F_4. Thetransformation is a generalization of a series transformation discovered byLanger, Schlosser, and Warnaar. Moreover we consider various limits of thistransformation to basic hypergeometric functions obtained by letting p tend to0.

An elliptic hypergeometric integral with W(F_4) symmetry