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数学本科毕业论文.doc

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数学本科毕业论文.doc

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文档介绍:+ 学校代码学号分类号密级本科毕业论文题目: 浅析解析函数与实二元函数之间的关系( 中、英文) The Analysis of relationship between Analytic function and Real Dual function 作者姓名专业名称学科门类指导教师提交论文时间成绩等级评定 I 摘要了解解析函数与实二元函数之间的关系有便于判断、, , 首先给出了解析函数的概念, 在阐述了解析函数与某些实二元函数之间的关系主要是判断函数的解析性, 证明解析函数的实虚部为调和函数说明了解析函数由实二元函数构成, 在给出了调和函数确定解析函数的一些方法,最后阐述了解析函数与实二元函数关系的物理意义. 关键字:解析函数;实二元函数;调和函数;柯西-黎曼方程. II Abstract Having a good knowledge of understanding the relationship between analytic functions and real binary function can contribute to determine and structure of analytic functions. However, analytic function is an important object of study plex function, so it is very important to understand the relationship between them. This article mainly is divided into four parts: First of all, it gives the concept of analytic function; The second section elaborated the analytic function and some real equivalence relation between binary function, it mainly talks about the analytic judgment function, and proves real imaginary part of analytic function for harmonic functions illustrate analytic function consists of real dual function ; Next gives the harmonic function to determine some of the methods of analytic functions, and finally elaborated analytic functions with real dual function of the physical meaning. Key word: analytic function ; real dual function ; harmonic function ; Cauchy-Riemann equations. III 目录摘要--------------------------------------------------------------------------------------------------------------- I Abstract ------------------------------------------------------------------------------------------------------------ II 目录------------------------------------------------------------------------------------------------------------ III 引言---------------------------------------------------------------------------------------------------------------- 1 1. 解析函数的相关概念---------------------------------------------------------------------------------------- 1 2. 解析函数与实二元函数之间