## 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.

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 176 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*