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

  1. Fernández Arias, Arturo
  2. Rodríguez Mateo, Francisco
Revue:
Publicacions matematiques

ISSN: 0214-1493

Année de publication: 1996

Volumen: 40

Número: 1

Pages: 135-156

Type: Article

DOI: 10.5565/PUBLMAT_40196_10 DIALNET GOOGLE SCHOLAR lock_openDDD editor

D'autres publications dans: Publicacions matematiques

Résumé

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.