复Clifford分析中几类函数的等价描述  

Several Kinds of Functions' Equivalent Discription in Complex Clifford Analysis

作　　者：李尊凤[1] 乔玉英[1] 许娜[1] 赵丽琴[1] 

机构地区：[1]河北师范大学数学与信息科学学院

出　　处：《数学的实践与认识》2007年第21期115-120,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目(10771049);河北省自然科学基金资助项目(A2007000225)

摘　　要：第一部分借助黄沙老师拟置换的思想,得到了复正则函数,复超正则函数的等价条件,定义了复超调和函数并讨论了它的等价条件,第二部分讨论了复超正则函数的若干性质.In the first part of this paper, resorting to the idea of quasi-permutation which created by Sha Hang, we give the equivalent conditions of complex monogenic and complex hypermonogenic functions, define the complex hyperharmonic function and discuss its equivalent conditions. Then, in the second part, we discuss several properties of complex hypermonogenic functions.

关 键 词：CLIFFORD分析 复正则函数 复超正则函数 复超调和函数 

分 类 号：O174.5[理学—数学]