Generalized harmonic number summation formulae via hypergeometric series and digamma functions |
| |
| Authors: | Hongmei Liu Wenshu Zhou Shuyan Ding |
| |
| Institution: | 1. School of Science, Dalian Minzu University, Dalian, P.R. China.liuhm7911@163.com liuhm@dlnu.edu.cn;3. School of Science, Dalian Minzu University, Dalian, P.R. China. |
| |
| Abstract: | By computing the derivatives of five classical hypergeometric summation theorems, and applying the related properties of the digamma function, we derive a large number of closed summation formulae for generalized harmonic numbers. |
| |
| Keywords: | Hypergeometric series Harmonic number summation formulae digamma functions derivative |
|
|
