A family of summation formulae involving harmonic numbers
A family of summation formulae involving harmonic numbers
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DOI：
10.1080/10652469.2015.1034124
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发表时间：
2015-04
影响因子：
1
通讯作者：
Chuanan Wei;Qinglun Yan;Dianxuan Gong
中科院分区：
文献类型：
--
作者：
Chuanan Wei;Qinglun Yan;Dianxuan Gong
利用导数算子和由伸缩方法得到的二项式和，建立了一族包含调和数的求和公式。同时，根据Abel分部求和引理，导出了一个一般的递推关系。
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.