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On the exceptional set in Nevanlinna’s second fundamental theorem in the unit disc. (English) Zbl 0920.30023

Summary: 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.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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