English

On harmonic binomial series

Mathematical Physics 2008-12-10 v1 math.MP

Abstract

We evaluate binomial series with harmonic number coefficients, providing recursion relations, integral representations, and several examples. The results are of interest to analytic number theory, the analysis of algorithms, and calculations of theoretical physics, as well as other applications.

Keywords

Cite

@article{arxiv.0812.1766,
  title  = {On harmonic binomial series},
  author = {Mark W. Coffey},
  journal= {arXiv preprint arXiv:0812.1766},
  year   = {2008}
}

Comments

26 pages, no figures

R2 v1 2026-06-21T11:49:59.159Z