Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 472-476.

• Articles • Previous Articles     Next Articles

Wandering Domains of Semigroups of Transcendental Entire Functions

 HUANG Zhi-Gang   

  1. School of Mathematics and Physics, University of Science and Technology of Suzhou, Jiangsu Suzhou 215009
  • Received:2008-07-10 Revised:2009-12-05 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    江苏省高校自然科学研究项目(07KJD110189)资助.

Abstract:

Let G be a semigroup generated by a family of transcendental entire functions with the semigroup operation being functional composition. Under some conditions, it is shown that any limit function of G in wandering domains is ∞ or lies in the derived set of singΦ-1 for some Φ ∈ G.

Key words: Transcendental entire function, Semigroup, Wandering domain, Limit function

CLC Number: 

  • 30D05
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