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Bibliographic Details
Main Authors: Pan, Ende, Xu, Ce
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.17952
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Table of Contents:
  • In this paper, we establish some expressions of Mneimneh-type binomial sums involving multiple harmonic-type sums in terms of finite sums of Stirling numbers, Bell numbers and some related variables. In particular, we present some new formulas of Mneimneh-type binomial sums involving generalized (alternating) harmonic numbers. Further, we establish a new identity relating the multiple zeta star values $ζ^\star(m+2,\{1\}_{r-1})$ and specific multiple polylogarithms by applying the Toeplitz principle. Furthermore, we present some interesting consequences and illustrative examples.