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

Classical Analysis and ODEs 2010-07-12 v1
Authors: Feng Qi , Bai-Ni Guo
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Abstract

In the present paper, we give two new proofs for the necessary and sufficient condition α≤1\alpha\le1 such that the function xα[ln⁡x−ψ(x)]x^\alpha[\ln x-\psi(x)] is completely monotonic on (0,∞)(0,\infty).

Keywords

monotone functions

Cite

@article{arxiv.0902.2520,
  title  = {Two new proofs of the complete monotonicity of a function involving the psi function},
  author = {Feng Qi and Bai-Ni Guo},
  journal= {arXiv preprint arXiv:0902.2520},
  year   = {2010}
}

Comments

6 pages

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