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.

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Abstract
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Published
2020-07-01
How to Cite
Subedi, B., & Singh, A. (2020). Dynamics on the Pre-periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions. Nepal Journal of Science and Technology, 19(1), 161-166. https://doi.org/10.3126/njst.v19i1.29796
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