\(q\)-generalizations of a family of harmonic number identities

DOI10.1016/J.AAM.2009.11.007zbMath1226.05047OpenAlexW2040179631MaRDI QIDQ972853

Chuanan Wei, Qiupeng Gu

Publication date: 21 May 2010

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.11.007

zbMATH Keywords

harmonic numberWatson's \(q\)-whipple transformation\(q\)-harmonic number

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (6)

Harmonic number identities via hypergeometric series and Bell polynomials ⋮ Logarithmically completely monotonic functions related to the \(q\)-gamma function and its applications ⋮ Summation formulas of \(q\)-hyperharmonic numbers ⋮ Unnamed Item ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants ⋮ Harmonic number identities via the Newton-Andrews method

Cites Work

• Unnamed Item
• Computer proofs of a new family of harmonic number identities.
• Hypergeometric series and harmonic number identities

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