Proofs for a monotonicity result of a function involving the psi and exponential functions

Details Proofs for a monotonicity result of a function involving the psi and exponential functions Proofs for a monotonicity result of a function involving the psi and exponential functions

2009-02-15

arxiv.org/abs/0902.2519v2

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

In the note, two alternative proofs are provided for a monotonicity result
that the function $\psi(x)+\ln\bigl(e^{1/x}-1\bigr)$ is strictly increasing on
$(0,\infty)$, where $\psi(x)$ is the psi function.

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