Annals of Mathematics, Second Series, Vol. 176, No. 3 (November, 2012), pp. 1783-1826 (44 pages) We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give ...

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 ...