on humbert matrix function of two complex variables under differential operator

On Humbert matrix function of two complex variables under differential operator

A New Extension of Humbert Matrix Function and Their Properties

Special matrix functions appear in the literature related to statistics [1-4] and more recently in connection with matrix analogues of Laguerre, Hermite and Legendre differential equations and the corresponding polynomial families [5-7]. The connection between the Humbert matrix function and modified Bessel matrix function has been established in [8,9]. In recent papers [10,11], we defined and ...

Growth analysis of entire functions of two complex variables

In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

On some results of entire functions of two complex variables using their relative lower order

Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.

ON CONEIGENVALUES OF A COMPLEX SQUARE MATRIX

In this paper, we show that a matrix A in Mn(C) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. And also show that if allconeigenvalues of conjugate-normal matrix A be real, then it is symmetric.  

Ruscheweyh Differential Operator Sets of Basic Sets of Polynomials of Several Complex Variables in Hyperelliptical Regions

The idea of the basic sets of polynomials of one complex variable appeared in 1930’s by Whittaker [33,34,35] who laid down the definition of a basic sets and their effectiveness. The study of the basic sets of polynomials of several complex variables was initiated by Mursi and Makar [25,26], Nassif [27], Kishka and others [13,14,17,18,19], where the representation in polycylindrical and hypersp...