Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities
Combinatorics
2007-05-23 v2 Number Theory
Quantum Algebra
Abstract
A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analogs of the celebrated Andrews-Gordon identities. In this paper we use these polynomial identities along with the combinatorial techniques introduced in our recent paper to derive Garrett, Ismail, Stanton type formulas for two variants of the Andrews-Gordon identities.
Keywords
Cite
@article{arxiv.math/0104053,
title = {Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities},
author = {Alexander Berkovich and Peter Paule},
journal= {arXiv preprint arXiv:math/0104053},
year = {2007}
}
Comments
15 pages, 9 figures, added clarification comments, stylistic changes, submitted to Ramanujan Journal