A tiling approach to eight identities of Rogers

DOI10.1016/J.EJC.2009.10.005zbMath1226.05043OpenAlexW2132642105MaRDI QIDQ966124

James A. Sellers, David P. Little

Publication date: 27 April 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.10.005

zbMATH Keywords

series expansions of infinite products

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (5)

A tiling proof of Euler's pentagonal number theorem and generalizations ⋮ A multi-parameter generalization of the symmetric algorithm ⋮ A combinatorial proof of an identity of Ramanujan using tilings ⋮ Combinatorial proofs and refinements of three partition theorems of Andrews ⋮ Unnamed Item

Cites Work

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• Combinatorial proofs of various \(q\)-Pell identities via tilings
• New proofs of identities of Lebesgue and Göllnitz via tilings
• Some more identities of the Rogers-Ramanujan type
• Rogers-Ramanujan identities in the hard hexagon model
• A family of partition identities proved combinatorially
• Rogers-Ramanujan-Slater type identities
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type

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