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.
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 |
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Pages (from-to) | 87-89 |
Journal | Proceedings of the Japan Academy, Series A, Mathematical Sciences |
Volume | 74 |
Issue number | 6 |
DOIs | |
Publication status | Published - 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.74.87Keywords
- Entire function
- Complex dynamics
- Composite functions