Some more identities of the Rogers-Ramanujan type

DOI10.1007/s11139-007-9109-6zbMath1196.11141arXivmath/0607202OpenAlexW1979089196MaRDI QIDQ1031957

Andrew V. Sills, Douglas Bowman, James Mc Laughlin

Publication date: 23 October 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607202

zbMATH Keywords

Rogers-Ramanujan identitiesBailey pairsq-seriesSlater's identitiesWatson's transformationHeine transformationq-Gauss identityq-Kummer identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (10)

Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Singular overpartitions ⋮ On a pair of identities from Ramanujan's lost notebook ⋮ Ramanujan-Slater type identities related to the moduli 18 and 24 ⋮ Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts ⋮ A tiling approach to eight identities of Rogers ⋮ One-parameter generalizations of Rogers-Ramanujan type identities ⋮ Rogers-Ramanujan computer searches ⋮ On Jackson’s proof of Ramanujan’s 1ψ1 summation formula ⋮ On a method for deriving formulas for the Jacobi theta functions

Uses Software

• qMultiSum
• qZeil
• RRtools
• recpf

Cites Work

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• Finite Rogers-Ramanujan type identities
• Some Infinite Product Identities
• A Motivated Proof of the Rogers-Ramanujan Identities
• THE QUINTUPLE PRODUCT IDENTITY
• Ramanujan's Lost Notebook
• The Final Problem : An Account of the Mock Theta Functions
• The Mock Theta Functions (2)
• Some Identities in Combinatory Analysis
• On the Simplification of Some Identities of the Rogers-Ramanujan Type
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type
• A NOTE ON CERTAIN q-IDENTITIES
• On identities of the Rogers-Ramanujan type
• On some infinite product identities

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