A. G. Constantine and R. J. Mairhead, “Partial Differential Equations for Hypergeometric Functions of Two Argument Matrices,” Journal of Multivariate Analysis, Vol. 2, No. 3, 1972, pp. 332-338. doi:10.1016/0047-259X(72)90020-6

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.