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Elsevier, Applied Mathematics and Computation, 19(218), p. 9890-9897

DOI: 10.1016/j.amc.2012.03.075

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A completely monotonic function involving the tri-gamma function and with degree one

Journal article published in 2012 by Bai-Ni Guo ORCID, Feng Qi ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

In the paper the authors introduce the concept of completely monotonic degrees of nonnegative functions on (0,∞)(0,∞) and proves that a function involving the difference between the tri-gamma function ψ′(x)ψ′(x) and a proper fraction of x is completely monotonic of degree 1 on (0,∞)(0,∞).