Dinámica de funciones de variable compleja en el Disco

In this work we study the holomorphic functions of the unit disk and its properties related to the dynamics in points inside and the edge of the disk. This study will be done using the pseudo hyperbolic metric, in particular we make use of the pseudo hyperbolic balls. We define and study angular lim...

Full description

Autores:
Castillo Soto, Nicolás
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2019
Institución:
Escuela Colombiana de Ingeniería Julio Garavito
Repositorio:
Repositorio Institucional ECI
Idioma:
spa
OAI Identifier:
oai:repositorio.escuelaing.edu.co:001/977
Acceso en línea:
https://catalogo.escuelaing.edu.co/cgi-bin/koha/opac-detail.pl?biblionumber=22043
https://repositorio.escuelaing.edu.co/handle/001/977
Palabra clave:
Variable compleja-Matemáticas
Funciones holomorfas
Región de aproximación no tangencial.
Complex variabl
Holomorphic functions
Non-tangential approach region
Rights
openAccess
License
Derechos Reservados - Escuela Colombiana de Ingeniería Julio Garavito
Description
Summary:In this work we study the holomorphic functions of the unit disk and its properties related to the dynamics in points inside and the edge of the disk. This study will be done using the pseudo hyperbolic metric, in particular we make use of the pseudo hyperbolic balls. We define and study angular limits and the relationship between different results about the dynamics of these iterated