## Differential Representation of Exact Value of the $n$th Partial Sum $\displaystyle \sum_{i=1}^{n}\frac{1}{a+(i-1)d}$ of General Harmonic Series

**Authors:** S. Maiti

In order to find a differential representation of the $n$th partial
sum $\displaystyle \sum_{i=1}^{n}\frac{1}{a+(i-1)d}$ of the general
harmonic series $\displaystyle
\sum_{i=1}^{\infty}\frac{1}{a+(i-1)d}$, a theoretical study has been
performed analytically. Moreover, some special cases of it such as
harmonic number have been discussed.

**Comments:** 4 Pages.

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### Submission history

[v1] 2012-07-24 13:05:32

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