四元数分析中几类广义函数的性质  

Properties of Several Types of Generalized Functions in Quaternion Analysis

作　　者：鄢盛勇 YAN Shengyong(School of Mathematics,Chengdu Normal University,Chengdu 611130,China)

机构地区：[1]成都师范学院数学学院,成都611130

出　　处：《成都师范学院学报》2018年第9期89-95,共7页Journal of Chengdu Normal University

基　　金：成都师范学院院级科研项目"Clifford分析中的奇异积分及应用"(CS16ZB03)

摘　　要：研究了四元数分析中柯西核函数,及其引出的几类广义函数,得到了这些广义函数偏导数的表达式。作为应用,还很容易的由此推导出了T算子的几种偏导数。The Cauchy kernel function in quaternion analysis, and several types of generalized func tions related to it are considered. The representations of partial derivative of the generalized functions are obtained. As an application, it is also easy to deduce several partial derivatives of the T operator.

关 键 词：四元数分析 柯西核函数 T算子 广义函数 

分 类 号：O174.5[理学—数学]