Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (5): 520-525.

• Articles • Previous Articles     Next Articles

Hypermonogenic Functions in Complex Clifford Analysis

 LI Yu-Cheng   

  1. 河北师范大学数学与信息科学学院 石家庄 050016
  • Online:2003-10-25 Published:2003-10-25
  • Supported by:

    河北省自然科学基金(050103)及河北省教育厅基金资助项目

Abstract:

In this paper, the authors research hypermonogenic functions in complex Clifford analysis ralating to the solution of the equation z_n Df(z)+(n-1)Qf′=0  in which f(z)=Pf(z)+Qf(z)e_n,f(z)∈C^2(Ω),f(z): Ω → C^{n+1},Ω C^{n+1}, The authors obtain several properties of hypermonogenic functions.

Key words: Complex Clifford analysis;Hypermonogenic functions;Dirac operator

CLC Number: 

  • 30G35
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