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

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

ISSN: 0214-1493

Year of publication: 1996

Volume: 40

Issue: 1

Pages: 135-156

Type: Article

DOI: 10.5565/PUBLMAT_40196_10 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

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.