A probabilistic proof of the Andrews--Gordon identities

DOI10.1016/j.disc.2004.10.018zbMath1081.11066OpenAlexW2047287613WikidataQ57933764 ScholiaQ57933764MaRDI QIDQ1764905

Robin J. Chapman

Publication date: 22 February 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.10.018

zbMATH Keywords

\(q\)-seriesMarkov chainRogers-Ramanujan identitiesAndrews-Gordon identities\(q\)-Chu-Vandermonde identityJacobian triple product

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Elementary theory of partitions (11P81)

Related Items (8)

General multi-sum transformations and some implications ⋮ A \(q\)-multisum identity arising from finite chain ring probabilities ⋮ Iteration process for multiple Rogers-Ramanujan identities ⋮ An expectation formula based on a Maclaurin expansion ⋮ An expectation formula with applications ⋮ A probabilistic version of Mehler's formula ⋮ A new discrete probability space with applications ⋮ PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA

Cites Work

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• A PROBABILISTIC PROOF OF THE ROGERS–RAMANUJAN IDENTITIES
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities

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