Iteration of Holomorphic Function Systems on the Riemann Sphere


  •  Rufin EYELANGOLI OKANDZE    
  •  Vital Delmas MABONZO    
  •  Dieudonne AMPINI    

Abstract

In this work, it is shown that a set of holomorphic functions, normal in any set, remains normal in the same set under the action of another holomorphic function. And therefore, we verify that Julia's sets of two-function composition (no matter the order of composition) coincide, up to a rescaling.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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