Dynamics of composite functions

Kin Keung Eric POON; C.C. YANG

doi:10.3792/pjaa.74.87

Dynamics of composite functions

Kin Keung Eric POON
, C.C. YANG

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

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 language	English
Pages (from-to)	87-89
Journal	Proceedings of the Japan Academy, Series A, Mathematical Sciences
Volume	74
Issue number	6
DOIs	https://doi.org/10.3792/pjaa.74.87
Publication status	Published - 1998

Keywords

Entire function
Complex dynamics
Composite functions

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10.3792/pjaa.74.87

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AB - 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.

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JO - Proceedings of the Japan Academy, Series A, Mathematical Sciences

JF - Proceedings of the Japan Academy, Series A, Mathematical Sciences

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Dynamics of composite functions

Abstract

Keywords

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