Monotonicity, concavity, and inequalities related to the generalized digamma function

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作者
Li Yin
Li-Guo Huang
Xiu-Li Lin
Yong-Li Wang
机构
[1] Binzhou University,College of Science
[2] Qufu Normal University,College of Mathematics Science
[3] Shandong University of Science and Technology,College of Mathematics and Systems Science
关键词
Generalized digamma function; Complete monotonicity; Inequality; Concavity; 33B15;
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摘要
In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
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