BC_n-symmetric abelian functions
| dc.creator | Rains, Eric M. | |
| dc.date | 2004-02-07 | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:35:58Z | |
| dc.date.available | 2026-07-07T06:35:58Z | |
| dc.description | We construct a family of BC_n-symmetric biorthogonal abelian functions generalizing Koornwinder's orthogonal polynomials, and prove a number of their properties, most notably analogues of Macdonald's conjectures. The construction is based on a direct construction for a special case generalizing Okounkov's interpolation polynomials. We show that these interpolation functions satisfy a collection of generalized hypergeometric identities, including new multivariate elliptic analogues of Jackson's summation and Bailey's transformation. | |
| dc.description | 59 pages, LaTeX (with AMS macros). v2: Minor revisions per referee comments | |
| dc.identifier | https://arxiv.org/abs/math/0402113 | |
| dc.identifier | http://arxiv.org/abs/math/0402113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99952 | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.title | BC_n-symmetric abelian functions | |
| dc.type | text |