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

Mathematics – Combinatorics

Scientific paper

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

Scientific paper

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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