Fast Escaping Set of Transcendental Semigroup
Bishnu Hari Subedi, Ajaya Singh
TL;DR
This paper investigates the properties and structure of the fast escaping set within transcendental semigroups, exploring how classical theories extend and identifying new phenomena in this broader context.
Contribution
It extends the classical theory of fast escaping sets from transcendental entire functions to transcendental semigroups, revealing new behaviors and structural insights.
Findings
Analysis of the structure of fast escaping sets
Extension of classical theory to semigroups
Identification of new phenomena in semigroup dynamics
Abstract
In this paper, we study fast escaping set of transcendental semigroup. We discuss some the structure and properties of fast escaping set of transcendental semigroup. We also see how far the classical theory of fast escaping set of transcendental entire function applies to general settings of transcendental semigroups and what new phenomena can occur.
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory · Advanced Differential Equations and Dynamical Systems