Certain <i>pl</i>(<i>m</i>,<i>n</i>)-Kummer Matrix Function of Two Complex Variables under Differential Operator

• 作者: Ayman Shehata
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Hypergeometric MATRIX FUNCTION pl(m n)-Kummer MATRIX FUNCTION MATRIX Differential Equation
• 年，卷（期）: 2013,（1）
• 页码范围: 91-96
• 页数: 6页
• 分类号: O1

摘要

The main aim of this paper is to define and study of a new matrix functions, say, the pl(m,n)-Kummer matrix function of two complex variables. The radius of regularity, recurrence relation and several new results on this function are established when the positive integers p is greater than one. Finally, we obtain a higher order partial differential equation satisfied by the pl(m,n)-Kummer matrix function and some special properties.