English

Evaluation of binomial series with harmonic numbers

Number Theory 2023-01-31 v2

Abstract

We define a special function related to the digamma function and use it to evaluate in closed form various series involving binomial coefficients and harmonic numbers.

Keywords

Cite

@article{arxiv.2110.11792,
  title  = {Evaluation of binomial series with harmonic numbers},
  author = {Khristo N. Boyadzhiev},
  journal= {arXiv preprint arXiv:2110.11792},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-24T07:06:23.507Z