Finite Rogers-Ramanujan Type Identities
Copyright policy )Finite Rogers-Ramanujan Type Identities
Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website.
- Georgia Southern University United States
- Rutgers, The State University of New Jersey United States
- Pennsylvania State University United States
Combinatorial aspects of partitions of integers, 05A10, 11B65, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, \(q\)-calculus and related topics, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), FOS: Mathematics, Mathematics - Combinatorics, Elementary theory of partitions, Combinatorics (math.CO), Combinatorial identities, bijective combinatorics
Combinatorial aspects of partitions of integers, 05A10, 11B65, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, \(q\)-calculus and related topics, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), FOS: Mathematics, Mathematics - Combinatorics, Elementary theory of partitions, Combinatorics (math.CO), Combinatorial identities, bijective combinatorics
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