On a $k$-extension of the Nielsen's $\beta$-Function

Nantomah, Kwara; Nisar, Kottakkaran Sooppy; Gehlot, Kuldeep Singh

doi:10.22075/ijnaa.2018.12972.1668

On a $k$ -extension of the Nielsen's $β$ -Function

Document Type : Research Paper

Authors

Kwara Nantomah ¹
Kottakkaran Sooppy Nisar ²
Kuldeep Singh Gehlot ³

¹ Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Ghana

² Department of Mathematics, College of Arts and Science-Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Alkharj, Kingdom of Saudi Arabia

³ Government College Jodhpur, JNV University Jodhpur, Rajasthan, India

10.22075/ijnaa.2018.12972.1668

Abstract

Motivated by the $k$ -digamma function, we introduce a $k$ -extension of the Nielsen's $β$ -function, and further study some properties and inequalities of the new function.

Keywords