Four families of summation formulas involving generalized harmonic numbers

作者：Wang, Jun; Wei, Chuanan^*

来源：Ramanujan Journal, 2018, 45(1): 73-94.

DOI：10.1007/s11139-016-9871-4

• Difference operator
• Abel's transformation
• Harmonic numbers

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.

• 出版日期2018-1
• 单位上海师范大学