复变函数的反常积分  

Abnormal integral of complex variable functions

作　　者：苏新卫[1] 翟羽[1] SU Xinwei;ZHAI Yu(School of Science,China University of Mining and Technology(Beijing),Beijing 100083,China)

机构地区：[1]中国矿业大学(北京)理学院,北京100083

出　　处：《高师理科学刊》2021年第1期56-58,共3页Journal of Science of Teachers＇College and University

基　　金：中国矿业大学(北京)课程建设与教改项目(J190806,J190812)。

摘　　要：复变函数积分是复变函数论课程的重要内容之一,当积分路径是复平面上的光滑曲线,被积函数在积分路径上连续时,复变函数积分存在且可以化为定积分.应用无界函数的反常实积分,给出光滑曲线上复变函数反常积分的定义,并举例判断积分的收敛性.The integral of complex variable functions is one of the important contents of the course of complex function theory.When the integral path is a smooth curve on the complex plane and the integrand is continuous on the integral path,the complex integral exists and can be converted into definite integral.By the abnormal real integral of unbounded function,the definitions of abnormal integral of complex variable functions on smooth curve are given.Some examples are presented to judge their convergences.

关 键 词：复积分 反常积分 定积分 

分 类 号：O172.2[理学—数学] G642.0[理学—基础数学]