Trabajo Fin de Grado
Teorema de Picard
Autor/es | León Barrado, Raquel |
Director | Romero Moreno, María del Carmen |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2018-06-20 |
Fecha de depósito | 2018-07-24 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | In this work, we study Picrad’s theorems about the range of an analytic
function. The first approach to Picard Theorem is the Casorati-Weierstrass Theorem which ensures that the range of an analytic function near an ... In this work, we study Picrad’s theorems about the range of an analytic function. The first approach to Picard Theorem is the Casorati-Weierstrass Theorem which ensures that the range of an analytic function near an essential singularity is dense in C. In Chapter 3, we prove Little Picard Theorem: if a function f is entire and non constant, the set of values that f assumes is either the whole complex plane or the plane minus a single point. In Chapter 4, we prove Great Picard Theorem: if an analytic function f has an essential singularity at a point z0 then at any punctured neighborhood of z0, f(z) attains every finite complex value with at most one possible exception. |
Cita | León Barrado, R. (2018). Teorema de Picard. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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León Barrado Raquel TFG.pdf | 422.0Kb | [PDF] | Ver/ | |