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 ...

This is a preview. Log in through your library . Abstract A function is called "regularly monotonic" if it is of class C∞ and each derivative is of a fixed sign (which may depend on the order of the ...

Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...