SUMMATION FORMULAE INVOLVING MULTIPLE HARMONIC NUMBERS

Applicable Analysis and Discrete Mathematics

article

Dongwei Guo¹  Wenchang Chu² 

[1] School of Mathematics and Statistics Zhoukou Normal University Zhoukou;Department of Mathematics and Physics University of Salento

关键词: Harmonic numbers;    Bernoulli numbers;    Euler numbers;    Bell numbers;    Stirling numbers;   

DOI  :  10.2298/AADM190712026G

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

By means of the generating function approach, we derive several summationformulae involving multiple harmonic numbers Hn,`(σ), as well as other combinatorial numbers named after Bernoulli, Euler, Bell, Genocchi and Stirling.

【 授权许可】

Unknown