On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc
- Fernández Arias, Arturo
- Rodríguez Mateo, Francisco
ISSN: 0214-1493
Year of publication: 1996
Volume: 40
Issue: 1
Pages: 135-156
Type: Article
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.