Number Theory


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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