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

Alexander Berkovich·Peter Paule
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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.

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BibTeXRIS

Alexander Berkovich, Peter Paule. 2001-05-09. Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities. https://arxiv.org/abs/math/0104053

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