复变函数的解析点与孤立奇点的运算性质

J4 ›› 2010, Vol. 9 ›› Issue (4): 17-19.

复变函数的解析点与孤立奇点的运算性质

大理学院数学与计算机学院，云南大理 671003

收稿日期:2010-01-18 出版日期:2010-04-15 发布日期:2010-04-15
作者简介:何彩香，副教授，主要从事复变函数论及组合优化研究.
基金资助:
大理学院科研基金资助项目（2007X05）

Operational Properties of Analytic Point and Isolated Singularity of Complex Function

College of Mathematics and Computer Science, Dali University, Dali , Yunnan 671003, China

Received:2010-01-18 Online:2010-04-15 Published:2010-04-15

摘要/Abstract

摘要：

讨论了复变函数的解析点与孤立奇点的运算性质，并给出了简单的证明。利用这些性质可以快速准确地判定某些复变
函数的孤立奇点的类型，这对研究某些复变函数在其孤立奇点处的去心邻域内的性质、复积分的计算等是很有意义的。

关键词: 解析点, 可去奇点, 极点, 本质奇点

Abstract:

This paper discusses operational properties of analytic point and isolated singularity of complex function and gives out simple proofs about them. By the properties, we can decide the type of isolated singularity of some complex functions. This is very meaningful for the researcher about the properties of isolated singularity in the deleted neighborhood and the computation of complex integration.

Key words: analytic point, moving singularity, pole, essence singularity

中图分类号:

O174.5

何彩香, 张晓玲. 复变函数的解析点与孤立奇点的运算性质[J]. J4, 2010, 9(4): 17-19.

HE Cai-Xiang, ZHANG Xiao-Ling. Operational Properties of Analytic Point and Isolated Singularity of Complex Function[J]. J4, 2010, 9(4): 17-19.