Rashwan, R.A., Metwally, M.S., Mohamed, M.T. and Shehata, A. (2013) Certain Kummer’s Matrix Function of Two Complex Variables under Certain Differential and Integral Operators. Thai Journal of Mathematics, 11, 725-740.

has been cited by the following article:

• TITLE: On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator

  AUTHORS: Mohamed Saleh Metwally, Mahmoud Tawfik Mohamed, Ayman Shehata

  KEYWORDS: Hypergeometric Matrix Function, Horn Matrix Function, Integral Form, Recurrence Matrix Relation, Matrix Differential Equation, Differential Operator, Hadamard Product

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.8 No.2, June 25, 2018

  ABSTRACT: The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and recurrence matrix relations are given. Some result when operating on Horn matrix function with the differential operator D and a solution of certain partial differential equations are established. The Hadamard product of two Horn’s matrix functions is studied, certain results as, the domain of regularity, contiguous functional relations and operating with the differential operator D and D2 are established.