Proof of a summation formula for an $\tilde A_n$ basic hypergeometric series conjectured by Warnaar
Classical Analysis and ODEs
2007-05-23 v1
Abstract
A proof of an unusual summation formula for a basic hypergeometric series associated to the affine root system that was conjectured by Warnaar is given. It makes use of Milne's extension of Watson's transformation, Ramanujan's -summation, and a determinant evaluation of the author. In addition, a transformation formula between basic hypergeometric series associated to the affine root systems respectively , which generalizes at the same time the above summation formula and an identity due to Gessel and the author, is proposed as a conjecture.
Keywords
Cite
@article{arxiv.math/0209272,
title = {Proof of a summation formula for an $\tilde A_n$ basic hypergeometric series conjectured by Warnaar},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:math/0209272},
year = {2007}
}
Comments
9 pages, AmS-LaTeX