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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A growth property of the Nevanlinna characteristic


Author: Allen Weitsman
Journal: Proc. Amer. Math. Soc. 26 (1970), 65-70
MSC: Primary 30.61
DOI: https://doi.org/10.1090/S0002-9939-1970-0261005-8
MathSciNet review: 0261005
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove here a relation between the rate of growth of the Nevanlinna characteristic of a meromorphic function $f(z)$, the size of a deficient value $\tau$, and the sets where $f(z)$ is close to $\tau$.


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Keywords: Nevanlinna characteristic, deficient value, meromorphic function
Article copyright: © Copyright 1970 American Mathematical Society