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Julia sets of permutable Holomorphic maps

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Jammu, Jammu, 180006, India

    Singh Anand P. & Wang Yuefei

  2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Singh Anand P. & Wang Yuefei

Authors
  1. Singh Anand P.
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  2. Wang Yuefei
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Correspondence to Wang Yuefei.

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Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

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Singh, A.P., Wang, Y. Julia sets of permutable Holomorphic maps. SCI CHINA SER A 49, 1715–1721 (2006). https://doi.org/10.1007/s11425-006-2063-8

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  • DOI: https://doi.org/10.1007/s11425-006-2063-8

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