Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions

Authors

  • Bishnu Hari Subedi Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal
  • Ajaya Singh Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/jnms.v3i1.33002

Keywords:

Faton set, Pre-periodic component, Periodic component, Wandering component, Carleman set

Abstract

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

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Author Biographies

Bishnu Hari Subedi, Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal

Central Department of Mathematics

Ajaya Singh, Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal

Central Department of Mathematics

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Published

2020-11-22

How to Cite

Subedi, B. H., & Singh, A. (2020). Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions. Journal of Nepal Mathematical Society, 3(1), 37–46. https://doi.org/10.3126/jnms.v3i1.33002

Issue

Vol. 3 No. 1 (2020)

Section

Articles

License

© Nepal Mathematical Society