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Combinatorial Identities Concerning Harmonic Numbers

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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.

Harmonic numbersCoefficientsCombinatorial identities

CHEN Yu-lei、GUO Dong-wei

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School of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China

School of Economics and Management,Nanjing University of Science and Technology,Nanjing 210094,China

Zhoukou Normal University High-Level Talents Start-Up Funds Research ProjectPostgraduate Research & Practice Innovation Program of Jiangsu Province

ZKNUC2022007KYCX24-0725

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(3)