English

On Some Properties and Inequalities for the Nielsen's $\beta$-Function

Classical Analysis and ODEs 2017-08-23 v1

Abstract

In this study, we obtain some convexity, monotonicity and additivity properties as well as some inequalities involving the Nielsen's β\beta-function which was introduced in 1906.

Cite

@article{arxiv.1708.06604,
  title  = {On Some Properties and Inequalities for the Nielsen's $\beta$-Function},
  author = {Kwara Nantomah},
  journal= {arXiv preprint arXiv:1708.06604},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T21:20:31.087Z