Periodic Components of the Fatou Set in Angular Region

Nirmal Gurung; Ajaya Singh

doi:10.3126/jnms.v5i1.47373

Periodic Components of the Fatou Set in Angular Region

Authors

Nirmal Gurung Central Department of Mathematics, Tribhuvan University, Nepal
Ajaya Singh Central Department of Mathematics, Tribhuvan University, Nepal

DOI:

https://doi.org/10.3126/jnms.v5i1.47373

Keywords:

Fatou set, Fatou component, Periodic Fatou component

Abstract

Here we discuss, for a given integer, the existence of transcendental entire function such that its number of periodic Fatou components lie in angular regions and their periodicity are related to the integer.

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Published

2022-08-10

How to Cite

Gurung, N., & Singh, A. (2022). Periodic Components of the Fatou Set in Angular Region. Journal of Nepal Mathematical Society, 5(1), 19–23. https://doi.org/10.3126/jnms.v5i1.47373