摘要
在复平面上分别给出复系数有理分式函数关于坐标轴以及原点对称的对称极点的留数之间的关系.结合复变函数的奇偶性得到有理分式函数的对称极点的留数的简便计算方法,并应用于有理分式函数在闭合路径上的复积分的计算.
We show the relationships of residues at some axial or central symmetric poles of rational fractional functions on the complex plane respectively.Based on these results,we provide the simple ways to calculate the residues at symmetric poles of rational functions by their parity,which are also used in the calculation of complex integral on a closed curve.
作者
丁明玲
肖祥春
李薇
DING Mingling;XIAO Xiangchun;LI Wei(College of Computer and Information Sciences,Fujian Agriculture and Forestry University,Fuzhou 350002,China;School of Mathematics and Statistics,Xiamen University of Technology,Xiamen Fujian 361024,China)
出处
《大学数学》
2024年第2期92-99,共8页
College Mathematics
基金
福建省自然科学基金项目(2021J011192)
福建省教育厅省级一流本科课程项目(117/111ZJ1926)。
关键词
有理分式函数
极点
留数
对称
奇偶性
rational fractional function
pole
residue
symmetric
parity
