Some extensions for the several combinatorial identities

[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.

[学科分类] 航空航天科学

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