Some extensions for the several combinatorial identities

Advances in Difference Equations

article

Xi, Gao-Wen¹  Luo, Qiu-Ming² 

[1] Department of Mathematics, Chongqing University of Science and Technology;Department of Mathematics, Chongqing Normal University

关键词: Combinatorial identities;    Harmonic number;    Bell polynomials;    Partial fraction decomposition;   

DOI  :  10.1186/s13662-020-03171-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving the harmonic numbers.

【 授权许可】

CC BY