Combinatorial Identities Concerning Harmonic Numbers
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.