Proof of a summation formula for an $\tilde A_n$ basic hypergeometric series conjectured by Warnaar
| dc.creator | Krattenthaler, Christian | |
| dc.date | 2002-09-20 | |
| dc.date.accessioned | 2026-07-07T04:51:05Z | |
| dc.date.available | 2026-07-07T04:51:05Z | |
| dc.description | A proof of an unusual summation formula for a basic hypergeometric series associated to the affine root system $\tilde A_n$ that was conjectured by Warnaar is given. It makes use of Milne's $A_n$ extension of Watson's transformation, Ramanujan's $_1ψ_1$-summation, and a determinant evaluation of the author. In addition, a transformation formula between basic hypergeometric series associated to the affine root systems $\tilde A_n$ respectively $\tilde A_m$, which generalizes at the same time the above summation formula and an identity due to Gessel and the author, is proposed as a conjecture. | |
| dc.description | 9 pages, AmS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0209272 | |
| dc.identifier | http://arxiv.org/abs/math/0209272 | |
| dc.identifier | in: "q-Series with Applications to Combinatorics, Number Theory, and Physics," Urbana-Champaign, Oct. 26-28, 2000, B. C. Berndt, K. Ono, eds., Contemporary Math., vol. 291, Amer. Math. Soc., Providence, R.I., 2001, pp. 153-161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65019 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33D67 (Primary) 05A19 05A30 (Secondary) | |
| dc.title | Proof of a summation formula for an $\tilde A_n$ basic hypergeometric series conjectured by Warnaar | |
| dc.type | text |