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Iteration of the Composition of Entire Functions

Iteration of the Composition of Entire Functions
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摘要 Let P(z) be entire and g(z)=λ e z, λ∈C-{0}. If f=P(g) has no wandering domain, then neither does h=g(P) . The normal sets of h=g(P) and f=P(g) have no Baker domain at the same time. Let P(z) be entire and g(z)=λ e z, λ∈C-{0}. If f=P(g) has no wandering domain, then neither does h=g(P) . The normal sets of h=g(P) and f=P(g) have no Baker domain at the same time.
作者 方丽萍
出处 《Journal of Beijing Institute of Technology》 EI CAS 2003年第2期205-207,共3页 北京理工大学学报(英文版)
关键词 normal set Baker domain wandering domain normal set Baker domain wandering domain
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参考文献3

  • 1Blanchard P.Complex analytic dynamics on the Riemann sphere[].Bulletin of the American Mathematical Society.1984
  • 2Eremenko A E,Lyubich M Y.Dynamical properties of some classes of entire functions[].Annales de l Institut Fourier.1992
  • 3Baker I N,Singh A P.Wandering domains in the iteration of compositions of entire functions[].Annales Academi Scientiarum Fennic Series A I Mathmatica.1995

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