Short proofs of the elliptic beta integrals
Classical Analysis and ODEs
2011-02-15 v2
Abstract
We give elementary proofs of the univariate elliptic beta integral with bases and its multiparameter generalizations to integrals on the and root systems. We prove also some new unit circle multiple elliptic beta integrals, which are well defined for , and their degenerations.
Keywords
Cite
@article{arxiv.math/0408369,
title = {Short proofs of the elliptic beta integrals},
author = {V. P. Spiridonov},
journal= {arXiv preprint arXiv:math/0408369},
year = {2011}
}
Comments
15 pages; minor textual corrections, to appear in Ramanujan J