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

【摘要】 In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in R 1n with values in R 0,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 sin-gularity, discuss some properties, and further obtain the residue theorems.更多还原

【Abstract】 In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in R 1n with values in R 0,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 sin-gularity, discuss some properties, and further obtain the residue theorems.更多还原