Characterization of the hyperbolic step of parabolic functions

A classical problem in complex dynamics on hyperbolic domains is to characterize the hyperbolic step of parabolic functions. This topic has been studied by several authors, leading to different results and providing characterizations that depend on the behaviour of the iterates of such functions. In...

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Detalles Bibliográficos
Autores: Contreras Márquez, Manuel Domingo, Cruz Zamorano, Francisco José, Rodríguez Piazza, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/177190
Acceso en línea:https://hdl.handle.net/11441/177190
https://doi.org/10.1007/s40315-024-00562-3
Access Level:acceso abierto
Palabra clave:Hyperbolic domains
Hyperbolic step
Descripción
Sumario:A classical problem in complex dynamics on hyperbolic domains is to characterize the hyperbolic step of parabolic functions. This topic has been studied by several authors, leading to different results and providing characterizations that depend on the behaviour of the iterates of such functions. In this work we provide new characterizations in terms of intrinsic properties of the functions.