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
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.
Nantomah, K., Nisar, K. Sooppy & Gehlot, K. Singh. (2018). On a $k$-extension of the Nielsen's $\beta$-Function. International Journal of Nonlinear Analysis and Applications, 9(2), 191–201. https://doi.org/10.22075/ijnaa.2018.12972.1668
MLA
Nantomah, K., Nisar, K. Sooppy, & Gehlot, K. Singh. "On a $k$-extension of the Nielsen's $\beta$-Function", International Journal of Nonlinear Analysis and Applications, 9, 2, 2018, 191–201. doi: 10.22075/ijnaa.2018.12972.1668
HARVARD
Nantomah, K., Nisar, K. Sooppy, & Gehlot, K. Singh. (2018). 'On a $k$-extension of the Nielsen's $\beta$-Function', International Journal of Nonlinear Analysis and Applications, 9(2), pp. 191–201. doi: 10.22075/ijnaa.2018.12972.1668
CHICAGO
Nantomah, K., Nisar, K. Sooppy & Gehlot, K. Singh, "On a $k$-extension of the Nielsen's $\beta$-Function." International Journal of Nonlinear Analysis and Applications, 9 2 (2018): 191–201, doi: 10.22075/ijnaa.2018.12972.1668
VANCOUVER
Nantomah K., Nisar K. Sooppy, Gehlot K. Singh. On a $k$-extension of the Nielsen's $\beta$-Function. IJNAA. 2018;9(2):191–201. doi: 10.22075/ijnaa.2018.12972.1668