A Laurent Expansion and Residue Theorems of k-Regular Functions in Clifford Analysis  

作　　者：KU Min DU Jinyuan 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2009年第2期97-102,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10471107);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001)

摘　　要：In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in R1^n with values in R0、n. We get a Laurent expansion of them in an open set, prove its uniqueness, give the definitions of k-poles, isolated and essential singular points and removable singularity, discuss some properties, and further obtain the residue theorems.In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in R1^n with values in R0、n. We get a Laurent expansion of them in an open set, prove its uniqueness, give the definitions of k-poles, isolated and essential singular points and removable singularity, discuss some properties, and further obtain the residue theorems.

关 键 词：Clifford algebra k-regular functions Laurent expansion residue theorems SINGULARITY 

分 类 号：O174.5[理学—数学] O174[理学—基础数学]