数学物理学报 ›› 2010, Vol. 30 ›› Issue (2): 472-476.

• 论文 • 上一篇    下一篇

超越整函数半群的游荡域

黄志刚   

  1. 苏州科技学院 数理学院|江苏苏州 215009
  • 收稿日期:2008-07-10 修回日期:2009-12-05 出版日期:2010-04-25 发布日期:2010-04-25
  • 基金资助:

    江苏省高校自然科学研究项目(07KJD110189)资助.

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.

摘要:

G是由一族超越整函数生成的半群, 其中半群运算是函数的复合. 在满足某些假设下, 文中得到$G$在其游荡域内的极限函数要么是∞, 要么属于G中某个函数Φ的奇异值集合singΦ-1的导集.

关键词: 超越整函数, 半群, 游荡域, 极限函数

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

中图分类号: 

  • 30D05