Monotonic Properties of Generalized Nielsen's β-function

Jumei Zhang¹, Li Yin^1, and Wenyan Cui¹

¹School of Science, Binzhou University

Cite this paper:
Jumei Zhang, Li Yin and Wenyan Cui. Monotonic Properties of Generalized Nielsen's β-function. Turkish Journal of Analysis and Number Theory. 2019; 7(1):18-22. doi: 10.12691/tjant-7-1-4

Abstract

In the paper, we discuss a new k-generalization of the Nielsen's β-function. Later, we study the completely monotonicity, convexity and inequalities of the new function.

Keywords:
Nielsen's β-function k-generalization inequality completely monotonic

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References:

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