Two problems of binomial sums involving harmonic numbers

DOI10.1186/s13662-021-03383-zzbMath1494.11029OpenAlexW3165879057MaRDI QIDQ2166951

Nadia N. Li, Chu, Wenchang

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03383-z

zbMATH Keywords

symmetric functionbinomial coefficientpartial fraction decompositionharmonic numbersignless Stirling number

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

• A family of shifted harmonic sums
• Harmonic number identities and Hermite-Padé approximations to the logarithm function
• Some extensions for the several combinatorial identities
• Two Notes on Notation
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