Combinatorial Identities Concerning Harmonic Numbers

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  • 1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;
    2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China
CHEN Yu-lei (1989-), female, native of Zhoukou, Henan, lecturer of Zhoukou Normal University, engages in number theory and its applications; GUO Dong-wei (1987-), male, native of Kaifeng, Henan, doctoral student of Nanjing University of Science and Technology, engages in combinatorics, economics.

Received date: 2023-07-31

  Online published: 2024-09-30

Supported by

Supported by Zhoukou Normal University High-Level Talents Start-Up Funds Research Project (Grant No. ZKNUC2022007) and the Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant No. KYCX24 0725).

Abstract

In this paper, we firstly establish a combinatorial identity with a free parameter x, and then by means of derivative operation, several summation formulae concerning classical and generalized harmonic numbers, as well as binomial coefficients are derived.

Cite this article

CHEN Yu-lei, GUO Dong-wei . Combinatorial Identities Concerning Harmonic Numbers[J]. Chinese Quarterly Journal of Mathematics, 2024 , 39(3) : 307 -314 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.008

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