Escaping Set of Hyperbolic Semigroup

Abstract

In this paper, we mainly study hyperbolic semigroups from which we get non-empty escaping set and Eremenko's conjecture remains valid. We prove that if each generator of bounded type transcendental semigroup S is hyperbolic, then the semigroup is itself hyperbolic and all components of I(S) are unbounded

7 pages

References in corpus (2)

• Invariant Properties of Fatou Set, Julia Set and Escaping Set of Holomorphic Semigroup
• A Short Comparison of Classical Complex Dynamics and Holomorphic Semigroup Dynamics

Cited by in corpus (2)

• A Study of Fatou Set, Julia set and Escaping Set in Nearly Abelian Transcendental Semigroup
• Fatou Set, Julia Set and Escaping Set in Holomorphic Subsemigroup Dynamics