The derivative operator and harmonic number identities

DOI10.1007/s11139-013-9510-2zbMath1301.33010arXiv1111.1024OpenAlexW2594224753MaRDI QIDQ464425

Chuanan Wei, Dian Xuan Gong

Publication date: 17 October 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1024

zbMATH Keywords

hypergeometric seriesderivative operatorharmonic number identity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (8)

Identities for alternating inverse squared binomial and harmonic number sums ⋮ Derivative operator and summation formulae involving generalized harmonic numbers ⋮ Summation formulas involving generalized harmonic numbers ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants ⋮ Alternating cubic Euler sums with binomial squared terms ⋮ Structural properties of Dirichlet series with harmonic coefficients ⋮ Watson-type₃F₂-series and summation formulae involving generalized harmonic numbers ⋮ Quadratic alternating harmonic number sums

Cites Work

• Computer proofs of a new family of harmonic number identities.
• Hypergeometric series and harmonic number identities
• Hypergéométrie et fonction zêta de Riemann
• On a linear form for Catalan's constant
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