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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Note on the Nevannlinna proximity function


Author: John L. Lewis
Journal: Proc. Amer. Math. Soc. 69 (1978), 129-134
MSC: Primary 30A70; Secondary 30A68
MathSciNet review: 0499158
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Abstract: Let $ \lambda $ be a positive function on $ (0,\infty )$ with $ {\lim _{r \to \infty }}\lambda (r) = \infty $, and A an arbitrary set of capacity zero. An example is given of a meromorphic function f for which $ m(r,a) \to \infty ,r \to \infty $, whenever $ a \in A$, and $ T(r,f) = O[{(\log r)^2}\lambda (r)],r \to \infty $ .


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0499158-6
PII: S 0002-9939(1978)0499158-6
Keywords: Meromorphic function, Nevanlinna proximity function, capacity
Article copyright: © Copyright 1978 American Mathematical Society