Transcendental Semigroup that has Simply Connected Fatou Components

Authors

  • Bishnu Hari Subedi Central Department of Mathematics, Institute of Science and Technology, Tribhuvan University

DOI:

https://doi.org/10.3126/jie.v15i1.27721

Keywords:

Carleman set, Fatou set, periodic component, wandering component, transcendental semigroup

Abstract

We prove that there exists non-trivial transcendental semigroup S such that the periodic or pre-periodic or wandering components of Fatou set F(S) have simply connected domain D.

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Published

2020-02-16

How to Cite

Subedi, B. H. (2020). Transcendental Semigroup that has Simply Connected Fatou Components. Journal of the Institute of Engineering, 15(1), 131–136. https://doi.org/10.3126/jie.v15i1.27721

Issue

Vol. 15 No. 1 (2019)

Section

Articles

License

The Copyright is held by Journal of the Institute of Engineering, IOE, TU