复变函数中由调和函数求解析函数的方法  

Methods of Finding Analytic Functions Through Hamonic Functions in Complex Analysis

作　　者：贺福利[1] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410075

出　　处：《数学理论与应用》2010年第4期122-128,共7页Mathematical Theory and Applications

基　　金：数学天元基金资助

摘　　要：本文给出了由解析函数的实部或虚部求该解析函数的几个定理,再以例题说明其应用。这些方法及应用,解决了复变函数中这一问题的理论与计算,而且所给方法能广泛进行推广。In this paper,we carried out several theorems of finding analytic functions through their real or image parts,a example is illustrated to show their application.These methods and application solved the theory and calculation of this problem in functions of complex variable.Furthermore,these methods can be comprehensive promoted.

关 键 词：调和函数 共轭调和函数 解析函数 

分 类 号：O174.5[理学—数学]