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

Abstract

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

Keywords

• Nielsen's $\beta$-function
• $k$-extension
• $k$-digamma function
• inequality