Two new proofs of the complete monotonicity of a function involving the psi function
classification
🧮 math.CA
keywords
functionalphaproofscompletecompletelyconditiongiveinfty
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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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