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.
@article{urn:eudml:doc:41247,
title = {On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.},
journal = {Publicacions Matem\`atiques},
volume = {40},
year = {1996},
pages = {135-156},
mrnumber = {MR1397012},
zbl = {0920.30023},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41247}
}
Fernández Arias, Arturo; Rodríguez Mateos, Francisco. On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.. Publicacions Matemàtiques, Tome 40 (1996) pp. 135-156. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41247/