Julia sets of permutable Holomorphic maps |
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| Authors: | SINGH Anand P WANG Yuefei |
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| Institution: | 1. Department of Mathematics, University of Jammu, Jammu-180006, India
2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100080, China |
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| Abstract: | Let f and g be two permutable transcendental holomorphic maps in the plane. We shall discuss the dynamical properties of f, g and f o g and prove, among other things, that if either f has no wandering domains or f is of bounded type, then the Julia sets of f and f(g) coincide.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| Keywords: | Julia set Fatou set permutable maps |
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