%0 Journal Article %T Monotonic Properties of Generalized Nielsen's ¦Â-function %A Jumei Zhang %A Li Yin %A Wenyan Cui %J Turkish Journal of Analysis and Number Theory %D 2019 %R 10.12691/tjant-7-1-4 %X In the paper, we discuss a new k-generalization of the Nielsen's ¦Â-function. Later, we study the completely monotonicity, convexity and inequalities of the new function %U http://www.sciepub.com/TJANT/abstract/10309