English

Transcendental Semigroup that has Simply Connected Fatou Components

Dynamical Systems 2018-04-05 v1

Abstract

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

Cite

@article{arxiv.1804.01213,
  title  = {Transcendental Semigroup that has Simply Connected Fatou Components},
  author = {Bishnu Hari Subedi and Ajaya Singh},
  journal= {arXiv preprint arXiv:1804.01213},
  year   = {2018}
}

Comments

7 pages. arXiv admin note: text overlap with arXiv:1803.09259

R2 v1 2026-06-23T01:13:15.848Z