In this paper, we introduce the notion of completely mixed monotonicity of a function of several variables, very few of which have appeared. We give a necessary and sufficient condition for a function ...

I'm afraid my math in this area is a bit deficient, but what I am trying to do is see if there's a way to simplify the function: but I never really learned how to manipulate factorials algebraically, ...

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 ...