Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series
Classical Analysis and ODEs
2009-12-09 v1 Combinatorics
Abstract
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric series of type g_n. Our main results include a new q-binomial theorem, new q-Gauss sum, and several transformation formulae for g_n series.
Cite
@article{arxiv.0807.1351,
title = {Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series},
author = {Alain Lascoux and Eric M. Rains and S. Ole Warnaar},
journal= {arXiv preprint arXiv:0807.1351},
year = {2009}
}
Comments
30 pages