On the Fatou Components of Semiconjugated Transcendental Entire functions

  • 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

Published
2013-06-28
How to Cite
Sharma, R., & Sharma, A. K. (2013). On the Fatou Components of Semiconjugated Transcendental Entire functions. European Journal of Mathematical Sciences, 2(3), 329-333. Retrieved from https://ejmathsci.org/index.php/ejmathsci/article/view/56
Section
Articles