TITLE:
Certain pl(m,n)-Kummer Matrix Function of Two Complex Variables under Differential Operator
AUTHORS:
Ayman Shehata
KEYWORDS:
Hypergeometric Matrix Function; pl(m, n)-Kummer Matrix Function; Matrix Differential Equation;
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.1,
January
28,
2013
ABSTRACT:
The main aim of this paper is to define and study of a new matrix functions, say, the pl(m,n)-Kummer matrix function of two complex variables. The radius of regularity, recurrence relation and several new results on this function are established when the positive integers p is greater than one. Finally, we obtain a higher order partial differential equation satisfied by the pl(m,n)-Kummer matrix function and some special properties.