Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers

DOI10.1080/10236198.2022.2037578zbMath1491.05028OpenAlexW4212980217MaRDI QIDQ5067768

Necdet Batir, Kwang-Wu Chen

Publication date: 4 April 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2022.2037578

zbMATH Keywords

combinatorial identitybinomial coefficientharmonic numberbinomial sumcentral binomial coefficientharmonic number sum

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65)

Uses Software

• SIGMA

Cites Work

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• Sum of the reciprocals of the binomial coefficients
• Combinatorial identities and inverse binomial coefficients
• On the series \(\sum_{k=1}^\infty \binom {3k}{k}^{-1} k^{-n}x^k\)
• On some series involving reciprocals of binomial coefficients
• Hypergeometric series and harmonic number identities
• Indefinite summation with unspecified summands
• Symbolic summation assists combinatorics
• Application of unspecified sequences in symbolic summation
• FINITE SUMS CONNECTED WITH THE INVERSES OF CENTRAL BINOMIAL NUMBERS AND CATALAN NUMBERS
• On some combinatorial identities and harmonic sums
• Finite Hurwitz-Lerch functions
• Combinatorial identities involving harmonic numbers
• Abel's Lemma and Identities on Harmonic Numbers

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