Four families of summation formulas involving generalized harmonic numbers

被引:1
|
作者
Wang, Jun [1 ]
Wei, Chuanan [1 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源
RAMANUJAN JOURNAL | 2018年 / 45卷 / 01期
关键词
Difference operator; Abel's transformation; Harmonic numbers; IDENTITIES; SUMS;
D O I
10.1007/s11139-016-9871-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In terms of Abel's transformation on difference operators, we establish four families of summation formulas involving generalized harmonic numbers. They include several known and numerous new harmonic number identities as special cases.
引用
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页码:73 / 94
页数:22
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