On the combinatorics of polynomial generalizations of Rogers-Ramanujan-type identities

DOI10.1016/S0012-365X(01)00378-8zbMath1006.11058OpenAlexW2039025298MaRDI QIDQ1613561

Santos, José Plínio O.

Publication date: 29 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(01)00378-8

zbMATH Keywords

generalized Fibonacci sequenceq-seriesFrobenius even alternating partitionspolynomial generalizations of Rogers-Ramanujan-type identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

\texttt{RRtools} -- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities ⋮ New two-line arrays representing partitions ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities

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