On Some Properties and Inequalities for the Nielsen’s      \(\beta\)-Function

Kwara Nantomah

doi:10.71712/

Vol. 28 (2018)

Articles

On Some Properties and Inequalities for the Nielsen’s \(\beta\)-Function

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Kwara Nantomah

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Kwara Nantomah
Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana

Published 2025-08-08

DOI:

https://doi.org/10.71712/

Keywords

Nielsen's \(\beta\)-Function,
digamma function,
subadditive,
superadditive,
inequality

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Kwara Nantomah. (2025). On Some Properties and Inequalities for the Nielsen’s \(\beta\)-Function. Scientia Series A: Mathematical Sciences, 28, 43-54. https://doi.org/10.71712/

Abstract

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

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