Generalized Mneimneh sums and their application to multiple polylogarithms

DOI10.1016/j.disc.2024.114318MaRDI QIDQ6646432

Marian Genčev

Publication date: 2 December 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

binomial sumspolylogarithmsharmonic numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Higher logarithm functions (33B30)

Cites Work

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• Computer proofs of a new family of harmonic number identities.
• Theory and application of infinite series.
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• Identities for generalized polylogarithms
• A binomial sum of harmonic numbers
• Combinatorial sums and finite differences
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• Special values of multiple polylogarithms
• The Art of Proving Binomial Identities
• Applications of derivative and difference operators on some sequences
• Feynman Integrals
• Applications of Zeilberger’s Algorithm to Ramanujan-Inspired Series Involving Harmonic-Type Numbers
• On Mneimneh's binomial sum involving harmonic numbers
• A generalization of Mneimneh's binomial sum of harmonic numbers

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