Chu–Vandermonde convolution and harmonic number identities

DOI10.1080/10652469.2012.689762zbMath1269.05010arXiv1201.0420OpenAlexW2131264923MaRDI QIDQ2841929

Chuanan Wei, Qin Wang, Dian Xuan Gong

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0420

zbMATH Keywords

derivative operatorharmonic number identityChu-Vandermonde convolution

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Approximation to limiting values (summation of series, etc.) (40A25)

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Cites Work

• Unnamed Item
• Riordan arrays and harmonic number identities
• Computer proofs of a new family of harmonic number identities.
• Hypergeometric series and harmonic number identities
• Sums of derivatives of binomial coefficients
• Further summation formulae related to generalized harmonic numbers
• Summation formulae involving harmonic numbers
• Harmonic number identities via hypergeometric series and Bell polynomials
• Some more identities involving rational sums