计算复积分的几种方法  

Several Methods of Calculating Complex Integral

作　　者：王艳琴[1] 

机构地区：[1]山西大同煤炭职业技术学院,山西大同037003

出　　处：《湖南工业职业技术学院学报》2011年第5期8-11,共4页Journal of Hunan Industry Polytechnic

摘　　要：掌握复积分的计算方法对于学好复变函数至关重要.本文对计算复积分的几种方法进行整理、归类,并以典型的例题加以说明.其中包括定义法、积分曲线的参数方程法、牛顿-莱布尼茨公式、柯西积分定理及公式、高阶导数公式、残数定理等计算方法.Grasping the computational method of the complex integration is very important to learn the complex variable function well.Several methods of calculating the complex integration are arranged and classified,And explained by using some typical examples in this article.It includes definition law,integral curve parametric equation law,Newton-Leibniz formula,Cauchy integral theorem and formula,higher order derivative formula,Residue theorem and so on.

关 键 词：参数方程 柯西积分定理 柯西积分公式 残数定理 

分 类 号：O174.55[理学—数学]