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

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Wuhan University Journal of Natural Sciences

Abstract

In this context, we mainly study the behavior in the neighborhood of finite singular points for k-regular functions in 1 R n1 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.

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Correspondence to Jinyuan Du.

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Ku, M., Du, J. A laurent expansion and residue theorems of k-regular functions in clifford analysis. Wuhan Univ. J. Nat. Sci. 14, 97–102 (2009). https://doi.org/10.1007/s11859-009-0201-1

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  • DOI: https://doi.org/10.1007/s11859-009-0201-1

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