Complete monotonicity of a difference between the exponential and trigamma functions
type: Item
instance of: scholarly article
zbMATH Open document ID: 1305.33002
author: Feng Qi
author: Xiao-Jing Zhang
publication date: 2014-08-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1303.1582
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 6335570
zbMATH Keywords: completely monotonic function
zbMATH Keywords: integral representation
zbMATH Keywords: exponential function
zbMATH Keywords: inequality
zbMATH Keywords: modified Bessel function of the first kind
MaRDI profile type: Publication
OpenAlex ID: W2088638477
arXiv ID: 1303.1582
DOI: 10.7468/JKSMEB.2014.21.2.141
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title: Complete monotonicity of a difference between the exponential and trigamma functions
published in: Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
review text: The authors give a new proof of the almost obvious fact that the function \(f(t)= \exp(1/t)- \psi'(t)\) is completely monotonic on \((0,\infty)\). Here \(\psi'(t)\) denotes the derivative of Euler's trigamma function.
reviewed by: József Sándor
description: scientific article; zbMATH DE number 6335570