| dc.creator | Van Diejen, J.F. | |
| dc.creator | Spiridonov, V.P. | |
| dc.date | 2008-01-04T17:54:28Z | |
| dc.date | 2008-01-04T17:54:28Z | |
| dc.date | 2002 | |
| dc.date.accessioned | 2017-03-07T14:44:19Z | |
| dc.date.available | 2017-03-07T14:44:19Z | |
| dc.identifier | Rocky Mountain Journal of Mathematics 32 (2): 639-656 | |
| dc.identifier | 0035-7596 | |
| dc.identifier | http://dspace.utalca.cl/handle/1950/4320 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/372024 | |
| dc.description | Van Diejen, J.F. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. | |
| dc.description | Recent results on elliptic generalizations of
various beta integrals are reviewed. Firstly, a single variable
Askey-Wilson type integral describing an elliptic extension
of the Nassrallah-Rahman integral is presented. Then
a multiple Selberg-type integral defining an elliptic extension
of the Macdonald-Morris constant term identities for nonreduced
root systems is described. The Frenkel-Turaevsu m and
its multivariable generalization, conjectured recently by Warnaar,
follow from these integrals through residue calculus. A
new elliptic Selberg-type integral, from which the previous one can be derived via a technique due to Gustafson, is defined.
Residue calculus applied to this integral yields an elliptic generalization
of the Denis-Gustafson sum a modular extension
of the Milne-type multiple basic hypergeometric sums. | |
| dc.format | 2946 bytes | |
| dc.format | text/html | |
| dc.language | en | |
| dc.subject | Rational Functions; bailey transform; series; polynomials; formulas | |
| dc.title | Elliptic beta integrals and modular hypergeometric sums: An overview | |
| dc.type | Artículos de revistas | |
