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K. Nantomah, Monotonicity and convexity properties and some inequalities involving a generalized form of the Wallis' cosine formula. Asian Research Journal of Mathematics, 6(3)(2017), 1-10.

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Article

Monotonic Properties of Generalized Nielsen's β-function

1School of Science, Binzhou University


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 1, 18-22
DOI: 10.12691/tjant-7-1-4
Copyright © 2019 Science and Education Publishing

Cite this paper:
Jumei Zhang, Li Yin, 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.

Correspondence to: Li  Yin, School of Science, Binzhou University. Email: yinli7979@163.com

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