The Sum of Certain Series Related to Harmonic Numbers
Classical Analysis and ODEs
2012-03-20 v2 Complex Variables
Abstract
In this paper, we consider three families of numerical series with general terms containing the harmonic numbers, and we use simple methods from classical and complex analysis to find explicit formulas for their respective sums.
Keywords
Cite
@article{arxiv.1010.1842,
title = {The Sum of Certain Series Related to Harmonic Numbers},
author = {Omran Kouba},
journal= {arXiv preprint arXiv:1010.1842},
year = {2012}
}
Comments
Statement of Theorem 3.2 corrected