On the Alder Polynomials and a New Generalization of the Rogers-Ramanujan Identities

DOI10.2307/1997348zbMath0305.10011OpenAlexW4247645025MaRDI QIDQ4061017

George E. Andrews

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997348

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Partitions with rounded occurrences and attached parts ⋮ Separable integer partition classes ⋮ A general theory of identities of the Rogers-Ramanujan type ⋮ Bailey pairs with free parameters, mock theta functions and tubular partitions ⋮ Partially ordered sets and the Rogers-Ramanujan identities

Cites Work

• Unnamed Item
• Certain generalized hypergeometric identities of the Rogers-Ramanujan type. I, II
• A note on the computation of Alder's polynomials
• Note on Alder's polynomials
• Partition identities
• Generalizations of the Rogers-Ramanujan identities
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• Partition Identities--From Euler to the Present

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