Derivative operator and summation formulae involving generalized harmonic numbers
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Publication:890503
DOI10.1016/j.jmaa.2015.09.018zbMath1325.05032OpenAlexW1456547922MaRDI QIDQ890503
Publication date: 10 November 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.018
Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)
Related Items (7)
A generalized inverse binomial summation theorem and some hypergeometric transformation formulas ⋮ Extensions of some known algebraic and combinatorial identities ⋮ Summation formulas involving generalized harmonic numbers ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants ⋮ A Saalschütz-type identity and summation formulae involving generalized harmonic numbers ⋮ Whipple-type 3F2-series and summation formulae involving generalized harmonic numbers ⋮ Watson-type3F2-series and summation formulae involving generalized harmonic numbers
Uses Software
Cites Work
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- The derivative operator and harmonic number identities
- 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
- Chu–Vandermonde convolution and harmonic number identities
- Telescoping method, derivative operators and harmonic number identities
- Harmonic number identities via hypergeometric series and Bell polynomials
- Hypergéométrie et fonction zêta de Riemann
- Some more identities involving rational sums
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