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Title: | Elliptic Selberg integrals |
Authors: | Van Diejen, J.F. Spiridonov, V.P. |
Issue Date: | 2001 |
Publisher: | Oxford University Press |
Citation: | International Mathematics Research Notices: 1083-1110 |
Abstract: | We introduce new Selberg-type multidimensional integrals built of Ruijsenaars' elliptic gamma functions. We show that the vanishing of our integrals for a specific parameter hypersurface implies closed evaluation formulas valid for the full parameter space. The resulting integration formulas contain the Macdonald-Morris constant term identities for nonreduced root systems as special limiting cases. |
Description: | Van Diejen, J.F. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. |
URI: | http://dspace.utalca.cl/handle/1950/4567 |
ISSN: | 1687-0247 |
Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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