Lattice Paths,q-Multinomials and Two Variants of the Andrews-Gordon Identities |
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| Authors: | Berkovich Alexander Paule Peter |
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| Affiliation: | (1) Department of Mathematics, University of Florida, Gainesville, Florida, 32611;(2) Research Institute for Symbolic Computation, Johannes Kepler University, A–4040 Linz, Austria |
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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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| Keywords: | partitions q-series identities weighted lattice paths q-multinomials |
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