Short proofs of the elliptic beta integrals
- Cite this article as:
- Spiridonov, V.P. Ramanujan J (2007) 13: 265. doi:10.1007/s11139-006-0252-2
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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.