caa a22 4500 463178319 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11139-006-0252-2 doi (NATIONALLICENCE)springer-10.1007/s11139-006-0252-2 Spiridonov V. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Reg. 141980, Moscow, Russia aut Short proofs of the elliptic beta integrals [Elektronische Daten] [V. Spiridonov] We give elementary proofs of the univariate elliptic beta integral with bases |q|,|p| < 1 and its multiparameter generalizations to integrals on the A n and C n 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. Springer Science + Business Media, LLC, 2006 Beta integrals nationallicence Elliptic hypergeometric functions nationallicence The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 265-283 1382-4090 13:1-3<265 2007 13 11139 https://doi.org/10.1007/s11139-006-0252-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-0252-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Spiridonov V. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Reg. 141980, Moscow, Russia aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 265-283 1382-4090 13:1-3<265 2007 13 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer