Completely monotonic degree of a function involving trigamma and tetragamma functions

Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic degree of the function $\Psi(x...

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Bibliographic Details
Main Author: Feng Qi
Format: Article
Language:English
Published: AIMS Press 2020-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020219/fulltext.html