Publication: On the hyperbolic order
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Date
2014-06
Authors
Arbeláez Pulgarín, Hugo Javier
Mejía Duque, Diego
Sierra, Willy
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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.