Two new proofs of the complete monotonicity of a function involving the psi function

Details Two new proofs of the complete monotonicity of a function involving the psi function Two new proofs of the complete monotonicity of a function involving the psi function

2009-02-15

arxiv.org/abs/0902.2520v1

Bai-Ni Guo and Feng Qi, Two new proofs of the complete monotonicity of a function involving the psi function, Bulletin of the

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

10.4134/BKMS.2010.47.1.103

In the present paper, we give two new proofs for the necessary and sufficient
condition $\alpha\le1$ such that the function $x^\alpha[\ln x-\psi(x)]$ is
completely monotonic on $(0,\infty)$.

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