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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

ABSTRACT: Hypergeometric functions have been increasingly present in several disciplines including Statistics, but there is much confusion on their proper uses, as well as on their existence and ...

Part of Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory: Wernigerode, Germany, April 15-20, 2012 ...