Escaping Sets of Hyperbolic Semigroups

Authors

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

DOI:

https://doi.org/10.3126/nmsr.v35i1-2.29979

Keywords:

Escaping sets, Eremenko's conjecture, transcendental semigroups, post singularly bounded (finite) semigroups, hyperbolic semigroups

Abstract

In this paper, we mainly study hyperbolic semigroups from which we get non-empty escaping sets and Eremenko’s conjecture remains valid. We prove that if each generator of bounded type transcendental semigroups is hyperbolic, then the semigroups are themselves hyperbolic and all components of escaping sets are unbounded.

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Author Biographies

Bishnu Hari Subedi, Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal

Central Department of Mathematics

Ajaya Singh, Institute of Science and Technology, Tribhuvan University, Kirtipur, Kathmandu, Nepal

Central Department of Mathematics

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Published

2018-12-31

How to Cite

Subedi, B. H., & Singh, A. (2018). Escaping Sets of Hyperbolic Semigroups. The Nepali Mathematical Sciences Report, 35(1-2), 45–52. https://doi.org/10.3126/nmsr.v35i1-2.29979

Issue

Vol. 35 No. 1-2 (2018)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report