Recurrences for elliptic hypergeometric integrals
| dc.creator | Rains, Eric M. | |
| dc.date | 2005-04-13 | |
| dc.date.accessioned | 2026-07-07T05:19:06Z | |
| dc.date.available | 2026-07-07T05:19:06Z | |
| dc.description | In recent work (math.QA/0309252) on multivariate hypergeometric integrals, the author generalized a conjectural integral formula of van Diejen and Spiridonov to a ten parameter integral provably invariant under an action of the Weyl group E_7. In the present note, we consider the action of the affine Weyl group, or more precisely, the recurrences satisfied by special cases of the integral. These are of two flavors: linear recurrences that hold only up to dimension 6, and three families of bilinear recurrences that hold in arbitrary dimension, subject to a condition on the parameters. As a corollary, we find that a codimension one special case of the integral is a tau function for the elliptic Painlevé equation. | |
| dc.description | 16 pages LaTeX. From workshop on Elliptic Integrable Systems, RIMS 11/2004 | |
| dc.identifier | https://arxiv.org/abs/math/0504285 | |
| dc.identifier | http://arxiv.org/abs/math/0504285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74894 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Recurrences for elliptic hypergeometric integrals | |
| dc.type | text |