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Transcendental meromorphic solutions of some algebraic differential equations

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Katsuya Ishizaki  and
Nobushige Toda
Katsuya Ishizaki
Affiliation:
Department of Mathematics Nippon Institute of Technology 4-1 Gakuendai Miyashiro, Minamisaitama Saitama 345-8501, Japanishi@nit.ac.jp
Nobushige Toda
Affiliation:
Center for General Education Aichi Institute of Technology Yakusa, Toyota-shi Aichi-ken 470-0392, Japantoda3-302@coral.ocn.ne.jp
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Abstract

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In this paper we treat transcendental meromorphic solutions of some algebraic differential equations. We consider the number of distinct transcendental meromorphic solutions. Algebraic relations between meromorphic solutions and comparisons of the growth of transcendental meromorphic solutions are also discussed.

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 83 , Issue 2 , October 2007 , pp. 157 - 180
Copyright
Copyright © Australian Mathematical Society 2007

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