Dynamics of composite functions

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9 Citations (Scopus)

Abstract

Let f and g be two transcendental entire functions. In this paper, mainly by using Iversen’s theorem on the singularities, we studied the dynamics of composite functions.
We have proved that the Fatou sets of f o g and g o f have the same dynamical properties. Copyright © 1998 The Japan Academy.
Original languageEnglish
Pages (from-to)87-89
JournalProceedings of the Japan Academy, Series A, Mathematical Sciences
Volume74
Issue number6
DOIs
Publication statusPublished - 1998

Citation

Poon, K.-K. & Yang, C.-C. (1998). Dynamics of composite functions. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 74(6), 87-89. doi: 10.3792/pjaa.74.87

Keywords

  • Entire function
  • Complex dynamics
  • Composite functions

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