On the hyperbolic order

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.

Autores:
Tipo de recurso:
Fecha de publicación:
2014
Institución:
Ministerio de Ciencia, Tecnología e Innovación
Repositorio:
Repositorio Minciencias
Idioma:
eng
OAI Identifier:
oai:repositorio.minciencias.gov.co:20.500.14143/22004
Acceso en línea:
https://repositorio.minciencias.gov.co/handle/20.500.14143/22004
Palabra clave:
Teoría de los números
Hyperbolic order
Hyperbolic invariance
Schwarzian derivative
Hyperbolically linearly connected
Combinaciones (matemáticas)
Modelos matemáticos
Teorías científicas
Grupos de lie
Topología algebraica
Homomorfismos
Rights
License
http://purl.org/coar/access_right/c_f1cf
Description
Summary: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.