Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities

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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.
15 pages, 9 figures, added clarification comments, stylistic changes, submitted to Ramanujan Journal

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Combinatorics, Number Theory, Quantum Algebra, 05A10, 05A19, 11B65, 11P82

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http://salesiana.dossiersoluciones.com/handle/123456789/61234

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104053
 http://arxiv.org/abs/math/0104053

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arXiv