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On the hyperbolic order
Authors:Hugo Arbeláez  Diego Mejía  Willy Sierra
Affiliation:1. Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia;2. Universidad del Cauca, Popayán, Colombia
Abstract:We define the hyperbolic order of any locally injective holomorphic function between arbitrary hyperbolic domains of the complex plane and study the relation between the hyperbolic order and the Schwarzian derivative for locally injective holomorphic functions from the unit disk into itself.
Keywords:Hyperbolic order  Hyperbolic invariance  Schwarzian derivative  Hyperbolically linearly connected
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