Short proofs of the elliptic beta integrals
V. P. Spiridonov
Abstract
We give elementary proofs of the univariate elliptic beta integral with bases |q|, |p|<1 and its multiparameter generalizations to integrals on the An and Cn root systems. We prove also some new unit circle multiple elliptic beta integrals, which are well defined for |q|=1, and their p 0 degenerations.
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