Dynamics on the Pre-periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions

  • Bishnu Hari Subedi Central Department of Mathematics, Institute of Science and Technology, Tribhuvan University
  • Ajaya Singh Central Department of Mathematics, Institute of Science and Technology, Tribhuvan University
Keywords: Fatou set, carleman set, periodic component, pre-periodic component

Abstract

We prove that there exist three transcendental entire functions that can have an infinite number of domains which lie in the pre-periodic component of the Fatou set each of these functions and their compositions.

Published
2021-07-15
How to Cite
Subedi, B., & Singh, A. (2021). Dynamics on the Pre-periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions. Nepal Journal of Science and Technology, 20(2), 161-166. Retrieved from https://njst.nast.org.np/index.php/njst/article/view/24
Section
Articles