A laurent expansion and residue theorems of k -regular functions in clifford analysis

In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in 1 R ₁ ⁿ 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 singularity, discuss some properties, and further obtain the residue theorems.