A generalization of Calkin's identity

DOI10.1016/j.disc.2007.07.068zbMath1148.05012OpenAlexW1988856578MaRDI QIDQ932656

Xin Wang, Zhizheng Zhang

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.07.068

zbMATH Keywords

combinatorial identitybinomial coefficientsAbel's summation rulebinomial identityCalkin's identityomega operator

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items

Unnamed Item, Some identities involving the partial sum of \(q\)-binomial coefficients, A \(q\)-analogue of Zhang's binomial coefficient identities

Cites Work

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• Calkin's binomial identity
• MacMahon's partition analysis. IV: Hypergeometric multisums
• A binomial identity related to Calkin's
• A kind of binomial identity
• A curious binomial identity
• On extensions of Calkin's binomial identities
• Combinatorial proofs of identities of Calkin and Hirschhorn.
• On a kind of curious binomial identity