A Comparison of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-II

Authors

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

DOI:

https://doi.org/10.3126/nmsr.v37i1-2.34098

Keywords:

Holomorphic semigroup, transcendental semigroup, Fatou set, Julia set, escaping set, S- completely invariant set

Abstract

In this paper, we prove that the escaping set of a transcendental semi group is S-forward invari-ant. We also prove that if a holomorphic semi group is a belian, then the Fatou, Julia, and escaping sets are S-completely invariant. We also investigate certain cases and conditions that the holomorphic semi group dynamics exhibits the similar dynamical behavior just like a classical holomorphic dynamics. Frequently, we also examine certain amount of connections and contrasts between classical holomorphic dynamics and holomorphic semi group dynamics.

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Published

2020-12-31

How to Cite

Subedi, B. H., & Singh, A. (2020). A Comparison of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-II. The Nepali Mathematical Sciences Report, 37(1-2), 86–95. https://doi.org/10.3126/nmsr.v37i1-2.34098

Issue

Vol. 37 No. 1-2 (2020)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report