A family of summation formulae involving harmonic numbers

作者:Wei, Chuanan*; Yan, Qinglun; Gong, Dianxuan
来源:Integral Transforms and Special Functions, 2015, 26(9): 667-677.
DOI:10.1080/10652469.2015.1034124

摘要

In terms of the derivative operator and a binomial sum from the telescoping method, we establish a family of summation formulae involving harmonic numbers. Meanwhile, a general recurrence relation is also deduced in accordance with Abel's lemma on summation by parts.