A \(q\)-analogue of Zhang's binomial coefficient identities

DOI10.1016/j.disc.2009.04.008zbMath1180.05005OpenAlexW1999496830MaRDI QIDQ1045080

Ying-Jie Lin, Cai Zhang, Yan Liu, Victor J. W. Guo

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.04.008

zbMATH Keywords

partial sums\(q\)-binomial coefficientbinomial coefficientalternating sums of cubesalternating sums of squares

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (2)

Evaluation of various partial sums of Gaussian \(q\)-binomial sums ⋮ Some identities involving the partial sum of \(q\)-binomial coefficients

Cites Work

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• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• A generalization of Calkin's identity
• Calkin's binomial identity
• The method of creative telescoping
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• 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.
• {\(q\)}-analogues of the sums of consecutive integers, squares, cubes, quarts and quints
• On a kind of curious binomial identity
• ON THE ANALOGUE OF DIXON'S THEOREM FOR BILATERAL BASIC HYPERGEOMETRIC SERIES

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