用二重积分和对数留数及其推广计算复积分  

Using Double Integral and Logarithmic Residue and Its Extension to Calculate Complex Integral

作　　者：刘乐[1] 贾耿华[2] LIU Le;JIA Genghua(Department of Mathematics Science, Luoyang Normal University, Luoyang 471934, China;Department of Mathematics and Science, Luoyang Institute of Science and Technology, Luoyang 471023, China)

机构地区：[1]洛阳师范学院数学科学学院,河南洛阳471934 [2]洛阳理工学院数理部,河南洛阳471023

出　　处：《河南教育学院学报（自然科学版）》2020年第4期46-48,共3页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：洛阳师范学院校级高等教育教学改革研究与实践项目(2019XJGJ016)。

摘　　要：结合具体的实例,主要讨论了用二重积分、对数留数及对数留数的推广去计算复积分。The methods of calculating complex integral are explained by using some typical examples.It includes double integral method,logarithmic residue and its extension.

关 键 词：复积分 对数留数 积分路径 

分 类 号：O174.5[理学—数学]