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M. T. Mohamed and A. Shehata, “A Study of Appell’s Matrix Functions of Two Complex Variables and Some Properties,” Journal Advances and Applications in Mathematical Sciences, Vol. 9, No. 1, 2011, pp. 23-33.

has been cited by the following article:

• TITLE: On p and q-Horn’s Matrix Function of Two Complex Variables

  AUTHORS: Ayman Shehata

  KEYWORDS: Hypergeometric Matrix functions, p and q-Horn’s Matrix Function, Contiguous Relations, Matrix Functions, Matrix Differential Equation, Differential Operator

  JOURNAL NAME: Applied Mathematics, Vol.2 No.12, December 5, 2011

  ABSTRACT: The main aim of this paper is to define and study of a new Horn’s matrix function, say, the p and q-Horn’s matrix function of two complex variables. The radius of regularity on this function is given when the positive integers p and q are greater than one, an integral representation of pHq 2 is obtained, recurrence relations are established. Finally, we obtain a higher order partial differential equation satisfied by the p and q-Horn’s matrix function.