Some generalized q-harmonic number identities

DOI10.1080/10652469.2015.1075522zbMath1325.05033OpenAlexW1598929548MaRDI QIDQ3448973

Yi Qu, Xiaoxia Wang

Publication date: 3 November 2015

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1075522

zbMATH Keywords

summation identitiespartial fraction decomposition methodgeneralized \(q\)-harmonic number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Approximation to limiting values (summation of series, etc.) (40A25)

Cites Work

• Dougall-Dixon formula and harmonic number identities
• Hypergeometric series and harmonic number identities
• \(q\)-generalizations of Mortenson's identities and further identities
• Harmonic number identities and Hermite-Padé approximations to the logarithm function
• Chu–Vandermonde convolution and harmonic number identities
• Telescoping method, derivative operators and harmonic number identities

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