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On the Size of the Exceptional Set in Nevanlinna's Second Fundamental Theorem for Certain Classes of Meromorphic Functions

✍ Scribed by Francisco Rodríguez

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 362 KB
Volume: 179
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19961790114

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✦ Synopsis

Abstract

Some conditions on the size of the exceptional set that arise in Nevanlinna's Second Fundamental Theorem are established, showing that previous sharp results can be improved by restricting the class of functions considered and suggesting a close relationship between the size of the exceptional set and the lower growth of the characteristic function. Examples of functions of rapid growth possessing exceptional sets are built, showing that these conditions are sharp for the class of functions considered.

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