Identities for the shifted harmonic numbers and binomial coefficients
Number Theory
2017-03-30 v2
Abstract
We develop new closed form representations of sums of (n + {\alpha})th shifted harmonic numbers and reciprocal binomial coefficients in terms of {\alpha}th shifted harmonic numbers. Some interesting new consequences and illustrative examples are considered.
Cite
@article{arxiv.1701.03727,
title = {Identities for the shifted harmonic numbers and binomial coefficients},
author = {Ce Xu},
journal= {arXiv preprint arXiv:1701.03727},
year = {2017}
}