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

نویسندگان
Nantomah, Kwara ID 1
Gehlot, Kuldeep Singh ID 2
Nisar, Kottakkaran Sooppy ID 3

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

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

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

doi
10.22075/ijnaa.2018.12972.1668
چکیده

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.

کلیدواژه‌ها
Nielsen's $beta$-function, $k$-extension, $k$-digamma function, inequality