References & Citations
Mathematics > Number Theory
Title: Mneimneh-type Binomial Sums of Multiple Harmonic-type Sums
(Submitted on 10 Mar 2024 (v1), last revised 28 Mar 2024 (this version, v2))
Abstract: 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 $\zeta^\star(m+2,\{1\}_{r-1})$ and specific multiple polylogarithms by applying the Toeplitz principle. Furthermore, we present some interesting consequences and illustrative examples.
Submission history
From: Ce Xu [view email][v1] Sun, 10 Mar 2024 01:29:28 GMT (11kb)
[v2] Thu, 28 Mar 2024 09:12:23 GMT (11kb)
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