已知调和函数求解析函数的新方法  

A New Method of Solving the Analytic Function in a Known Harmonic Functions

作　　者：王凡彬[1] 

机构地区：[1]内江师范学院数学与信息科学学院//四川省数据恢复重点实验室,四川内江641199

出　　处：《内江师范学院学报》2015年第6期76-79,共4页Journal of Neijiang Normal University

基　　金：教育部数学与应用数学专业综合改革试点项目(ZG0464);四川省高校数值仿真与数学实验教学示范中心项目(O1247)

摘　　要：利用解析函数的唯一性定理,针对不同情况下的单连通区域的情形,分别得到了几种已知调和函数求解析函数的新方法,并对这些新方法给与了严格的证明.最后,给出了新方法的应用.实践表明,这些新方法是简捷可行的.Using uniqueness theorem of analytic function,based on the situation under different conditions of the simply-connected region,several kinds of new methods for solving the analytic function in a known harmonic functions respectively are obtained,and a strict proof of the new methods are put forth.Finally,some applications of the new method are also supplied. Practice shows that these new methods are simple and feasible.

关 键 词：调和函数 解析函数 新方法 

分 类 号：O174.3[理学—数学]