On the Fatou components of two permutable transcendental entire functions |
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| Authors: | Xiaoling Wang |
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| Affiliation: | Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
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| Abstract: | Let f and g be two distinct permutable transcendental entire functions. Suppose further that q(g)=aq(f)+b for some nonconstant polynomial q(z) and constants a(≠0),  . In this article, we will investigate the dynamical properties of f and g and show that they have the same Fatou sets with the same components. |
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| Keywords: | Complex dynamics Fatou component Permutable transcendental entire functions |
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