Four families of summation formulas involving generalized harmonic numbers

DOI10.1007/s11139-016-9871-4zbMath1390.11059OpenAlexW1876831146MaRDI QIDQ1696805

Jun Wang, Chuanan Wei

Publication date: 15 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9871-4

zbMATH Keywords

difference operatorharmonic numbersAbel's transformation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (1)

Gauss's theorem and harmonic number summation formulae with certain mathematical constants

Uses Software

• SIGMA

Cites Work

• Unnamed Item
• Riordan arrays and harmonic number identities
• The Abel-Zeilberger algorithm
• Computer proofs of a new family of harmonic number identities.
• An extension of Zeilberger's fast algorithm to general holonomic functions
• Harmonic number identities via the Newton-Andrews method
• Sums of derivatives of binomial coefficients
• Symbolic summation assists combinatorics
• Harmonic number identities via hypergeometric series and Bell polynomials
• Arithmetic theory of harmonic numbers
• Hypergéométrie et fonction zêta de Riemann
• Some more identities involving rational sums
• A family of summation formulae involving harmonic numbers

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