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Combinatorial Identities Concerning Harmonic Numbers

作     者:CHEN Yu-lei GUO Dong-wei 

作者机构:School of Mathematics and StatisticsZhoukou Normal UniversityZhoukou 466001China School of Economics and ManagementNanjing University of Science and TechnologyNanjing 210094China 

出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))

年 卷 期:2024年第39卷第3期

页      面:307-314页

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by Zhoukou Normal University High-Level Talents Start-Up Funds Research Project(Grant No.ZKNUC2022007) the Postgraduate Research&Practice Innovation Program of Jiangsu Province(Grant No.KYCX240725) 

主  题:Harmonic numbers Coefficients Combinatorial identities 

摘      要: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.

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