Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 716-726.

• Articles • Previous Articles     Next Articles

Properties of k-Hypermonogenic Functions and Their Relative Functions

  

  1. (1. College of Mathematics and Information Science, Hebei Normal University, Shi Jiazhuang 050016|
    2. College of Science, Hebei University of Engineering, Handan 056038)
  • Received:2007-11-19 Revised:2009-03-10 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学数学天元基金(A0324610)和河北省自然科学基金(102129)资助

Abstract:

In the first part of this paper, the authors show the extension theorem and uniqueness theorem of k-hypermonogenic functions. What  is more, by the uniqueness theorem, the authors prove the inner-closed uniform convergence of  sequence of hypermonogenic functions. In the second part of this paper, as P-part and Q-part of k-hypermonongenic functions satisfy  two equations, the authors discuss the relationship between these two equations and k-hypermonogenic functions and  their relative functions.

Key words: k-Hypermonogenic function, k-Hyperbolic Harmonic function, Extension theorem, Uniqueness theorem, the P-part and Q-part of k-Hypermonogenic function

CLC Number: 

  • 30G99
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