Complete monotonicity related to the k-polygamma functions with applications

被引：0
|
作者：
Li Yin
Jumei Zhang
XiuLi Lin
机构：
[1] Binzhou University,College of Science
[2] Qufu Normal University,College of Mathematics Science
来源：
Advances in Difference Equations | / 2019卷
关键词：
Complete monotonicity; -digamma function; -polygamma functions; 33B15; 26A48;
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摘要：
In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.
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