A family of summation formulae involving harmonic numbers

DOI10.1080/10652469.2015.1034124zbMath1357.11033arXiv1203.2863OpenAlexW2088098756MaRDI QIDQ5262281

Chuanan Wei, Qinglun Yan, Dian Xuan Gong

Publication date: 13 July 2015

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

Full work available at URL: https://arxiv.org/abs/1203.2863

zbMATH Keywords

harmonic numberstelescoping methodderivative operator

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (2)

Four families of summation formulas involving generalized harmonic numbers ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants

Cites Work

• Unnamed Item
• Riordan arrays and harmonic number identities
• An extension of Zeilberger's fast algorithm to general holonomic functions
• Sums of derivatives of binomial coefficients
• Chu–Vandermonde convolution and harmonic number identities
• Harmonic number identities via hypergeometric series and Bell polynomials
• Some more identities involving rational sums
• Harmonic numbers and double binomial coefficients

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