Work

Characterization of the Hyperbolic Step of Parabolic Functions

Year: 2024

Type: article

Abstract: 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.

Source: Computational Methods and Function Theory

DOI: 10.1007/s40315-024-00562-3

Authors: Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza

Institution: Universidad de Sevilla

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Universidad de Sevilla, Junta de Andalucía