We show that $\[{F_a}\left( x \right) = \frac{{In\Gamma \left( {x + 1} \right)}} {{xIn\left( {ax} \right)}}\]$ can be considered as a Pick function when a ≥ 1, i.e ...

This is a preview. Log in through your library . Abstract Let f be a positive real-valued function defined on an interval I ⊆ R. The function f is said to be log-convex if logf is convex on I. In this ...