A Comparision of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-I

Authors

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

DOI:

https://doi.org/10.3126/nmsr.v38i2.42707

Keywords:

Holomorphic semigroup, transcendent semigroup, Fatou set, Julia set, escaping set

Abstract

In this paper, we compare existing results of the classical holomorphic dynamics with some of the existing results of holomorphic semigroup dynamics. We also prove some results of holomorphic semigroup dynamics, and we see whether there is a connection or contrast with classical one. Also, we see how far the results generalize, and what new phenomena appear.

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Published

2021-12-31

How to Cite

Subedi, B. H. (2021). A Comparision of Classical Holomorphic Dynamics and Holomorphic Semigroup Dynamics-I. The Nepali Mathematical Sciences Report, 38(2), 27–34. https://doi.org/10.3126/nmsr.v38i2.42707

Issue

Vol. 38 No. 2 (2021)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report