一类复积分错误计算的分析  

Analysis of a kind of complex integral error calculation

作　　者：张杰华 韩明华 ZHANG Jiehua;HAN Minghua(School of Science,Kaili University,Kaili 556000,China)

机构地区：[1]凯里学院理学院,贵州凯里556000

出　　处：《高师理科学刊》2022年第7期25-28,共4页Journal of Science of Teachers＇College and University

基　　金：贵州省教育厅普通高校自然科学基金项目(黔教合KY字[2018]361,BS201710)。

摘　　要：复积分的计算方法多样且灵活,通常需要根据被积函数及积分路径的特点选择恰当的方法,学生在计算形如∮f(z)/c(z-z0)^(n) dx 这一类复积分时容易出现错误,分析了导致错误的原因,并根据f(z)的奇点类型给出了该类积分的计算方法.The calculation methods of complex integral are diverse and flexible,it is usually necessary to choose the appropriate method according to the characteristics of the integration function and the integral path.It is easy to make mistakes in the calculation of a kind of complex integral as ∮f(z)/c(z-z0)^(n) dx,the causes of such errors was analyzed,and the calculation method was given according to the types of singular point of f(z).

关 键 词：复积分 留数定理 奇点 

分 类 号：O174.5[理学—数学]