Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 692-703.

• Articles • Previous Articles     Next Articles

Laurent Expansion and Residue Theorems in Universal Clifford Analysis

 ZHANG Zhong-Xiang, DU Jin-Yuan   

  1. 武汉大学数学与统计学院 武汉 430072
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金、高等学校博士学科点专项科研基金和武汉大学自强创新基金资助

Abstract:

 In this paper, by using the Cauchy integral formula on certain distinguished boundary for functions with values in a universal Clifford algebra,
 the Laurent expansion for LR regular functions with isolated  singular points is obtained in the corresponding Laurent domain. After that, the concept of residue and the residue theo rem is obtained.

Key words: Universal Clifford analysis;Cauchy integral formula ;Laurent expansion; , Residue theorem

CLC Number: 

  • 30G35
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