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解析函数的几种定义及其关系
引用本文:潘传中. 解析函数的几种定义及其关系[J]. 达县师范高等专科学校学报, 2010, 20(2): 1-3
作者姓名:潘传中
作者单位:达州职业技术学院党办,四川达州635000
摘    要:解析函数在复变函数中占有十分重要的地位,但它的定义在不同的著作中形式不一样.给出了解析函数的五种定义,并证明它们彼此等价,从而能更深刻地理解和应用解析函数.

关 键 词:解析函数  定义  等价

Several Definitions and Their Relations of Analytic Function
PAN Chuan-zhong. Several Definitions and Their Relations of Analytic Function[J]. Journal of Daxian Teachers College, 2010, 20(2): 1-3
Authors:PAN Chuan-zhong
Affiliation:Party Office of Dazhou Vocational and Technological College;Dazhou Sichuan 635000;China
Abstract:The Analytic Function occupies a very important position in the Complex Functions,but its definition has various forms in different works.For the sake of getting a better understanding,five kinds of definitions are listed in this article.Their equivalence has also been proved thus to be understood more profoundly and applied more appropriately.
Keywords:Analytical Function  definition  equivalence  
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