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Title of Journal: Comput Methods Funct Theory

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Abbravation: Computational Methods and Function Theory

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Springer-Verlag

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10.1007/s00107-015-0937-6

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2195-3724

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The Growth of Complex Solutions of Algebraic Diffe

Authors: Miklos Laczkovich
Publish Date: 2010/11/17
Volume: 11, Issue: 1, Pages: 193-211
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Abstract

We prove that if a complex valued function y is defined on a halfline and satisfies a first order algebraic differential equation then y can be dominated by e x n apart from a set of finite measure We also show that either y can be dominated by a suitable e x n for every x large enough or y must be of polynomial growth on an unbounded set Similar statements are true for solutions defined on the complex plane except for isolated singularities


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