On the Fatou Components of Semiconjugated Transcendental Entire functions

Authors

  • Rajesh Sharma Govt Degree College
  • Ajay Kumar Sharma School of Mathematics, Shri Mata Vaishno Devi University

Abstract

In this paper, we show that if f and h are two transcendental entire functions which are semiconjugated by an entire map g, where f has no Siegel disk and no Baker domain, then g(F(f)) is in F(h).

Author Biography

  • Ajay Kumar Sharma, School of Mathematics, Shri Mata Vaishno Devi University

    Ajay Kumar Sharma

    Lecturer

    School of Mathematics

    Shri Mata Vaishno Devi University

    Kakyal, Katra

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Published

28-06-2013

Issue

Vol. 2 No. 3

Section

Articles