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The distribution of finite values of meromorphic functions with deficient poles

Published online by Cambridge University Press:  14 March 2002

J. K. LANGLEY
J. K. LANGLEY
Affiliation:
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD.
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Abstract

We prove the existence of unbounded open subsets S of the complex plane with the following property. If f is a function transcendental and meromorphic in the plane, the poles of which have positive Nevanlinna deficiency, then f takes every finite value, with at most one exception, infinitely often in the complement of S.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 2 , March 2002 , pp. 311 - 317
Copyright
2002 Cambridge Philosophical Society

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