On Horn Matrix Function <i>H<sub>2</sub>(A,A′,B,B′;C;z,w)</i>of Two Complex Variables under Differential Operator

• 作者: Ayman Shehata Mahmoud Tawfik Mohamed Mohamed Saleh Metwally
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Hypergeometric MATRIX FUNCTION HORN MATRIX FUNCTION Integral Form Recurrence MATRIX Relation MATRIX DIFFERENTIAL Equation DIFFERENTIAL Operator Hadamard Product
• 年，卷（期）: 2018,（2）
• 页码范围: 96-110
• 页数: 15页
• 分类号: O1

摘要

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.