Abstract: Functions of two variables appear frequently in engineering studies. Students have particular difficulties in understanding how the graphs of these functions are. This paper presents a ...

Transactions of the American Mathematical Society, Vol. 176 (Feb., 1973), pp. 305-318 (14 pages) The theory of monotone matrix functions has been developed by K. Loewner; he first gives some necessary ...

Department of Mathematics, Al-Aqsa University, Gaza Strip, Palestine. Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt. The special matrix functions appear in statistics ...

We aim to study Mittag-Leffler type functions of two variables D 1 ( x , y ) , . . . , D 5 ( x , y ) by analogy with the Appell hypergeometric functions of two variables,. Moreover, we targeted ...

Functions of two variables can be visualized in many ways: heat maps in 2D, contour curves in 2D, wireframes in 3D, surfaces in 3D. We begin by defining a function of two variables, building an array ...

The bilinear generating function for products of two Laguerre 2D polynomials with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of ...

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 ...