浅析解析函数与实二元函数之间的关系-毕业论文（设计）.docVIP

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 PAGE \* MERGEFORMAT PAGE \* MERGEFORMAT 2 摘 要 了解解析函数与实二元函数之间的关系有便于判断、构造解析函数.解析函数又是复变函数研究的重要对象,所以理解它们之间的关系也是非常重要的.本文主要分为四个部分,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. 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 of complex 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. 目 录 TOC \o 1-3 \h \u HYPERLINK \l _Toc15835 摘 要 PAGEREF _Toc15835 I HYPERLINK \l _Toc30084 Abstract PAGEREF _Toc30084 II HYPERLINK \l _Toc14970 目 录 PAGEREF _Toc14970 III HYPER