On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.

Arturo Fernández Arias; Francisco Rodríguez Mateos

Publicacions Matemàtiques (1996)

  • Volume: 40, Issue: 1, page 135-156
  • ISSN: 0214-1493

Abstract

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A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.

How to cite

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Fernández Arias, Arturo, and Rodríguez Mateos, Francisco. "On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.." Publicacions Matemàtiques 40.1 (1996): 135-156. <http://eudml.org/doc/41247>.

@article{FernándezArias1996,
abstract = {A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.},
author = {Fernández Arias, Arturo, Rodríguez Mateos, Francisco},
journal = {Publicacions Matemàtiques},
keywords = {Función meromorfa; Funciones analíticas; Conjuntos excepcionales; Función característica; Nevanlinna's second fundamental theorem; exceptional set},
language = {eng},
number = {1},
pages = {135-156},
title = {On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.},
url = {http://eudml.org/doc/41247},
volume = {40},
year = {1996},
}

TY - JOUR
AU - Fernández Arias, Arturo
AU - Rodríguez Mateos, Francisco
TI - On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.
JO - Publicacions Matemàtiques
PY - 1996
VL - 40
IS - 1
SP - 135
EP - 156
AB - A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.
LA - eng
KW - Función meromorfa; Funciones analíticas; Conjuntos excepcionales; Función característica; Nevanlinna's second fundamental theorem; exceptional set
UR - http://eudml.org/doc/41247
ER -

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