On Two Types of Harmonic Number Identities
Number Theory
2012-02-23 v2 Combinatorics
Abstract
Two types of finite series of products of harmonic numbers involving nonnegative integer powers are evaluated, also yielding two other important harmonic number identities. The recursion formulas for these sums are derived, which are easily translated into a computer program.
Cite
@article{arxiv.1202.3981,
title = {On Two Types of Harmonic Number Identities},
author = {Maarten Kronenburg},
journal= {arXiv preprint arXiv:1202.3981},
year = {2012}
}
Comments
Added formula (3.5) and examples