Vol. 28 (2018)
Articles

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

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

Published 2018-06-18

Keywords

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

How to Cite

On Some Properties and Inequalities for the Nielsen’s      \(\beta\)-Function. (2018). Scientia Series A: Mathematical Sciences, 28, 43-54. https://revistas.usm.cl/scientia/article/view/199

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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