On <i>p</i>and <i>q</i>-Horn’s Matrix Function of Two Complex Variables

• 作者: Ayman Shehata
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Hypergeometric MATRIX FUNCTIONS p and q-Horn’s MATRIX Function Contiguous Relations MATRIX FUNCTIONS MATRIX DIFFERENTIAL Equation DIFFERENTIAL Operator
• 年，卷（期）: 2011,（12）
• 页码范围: 1437-1442
• 页数: 6页
• 分类号: O1

摘要

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.