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Meromorphic solutions of higher order Briot–Bouquet differential equations

Published online by Cambridge University Press:  01 January 2009

ALEXANDRE E EREMENKO ,
LIANGWEN LIAO  and
TUEN WAI NG
ALEXANDRE E EREMENKO
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. e-mail: eremenko@math.purdue.edu
LIANGWEN LIAO
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, 210093, China. e-mail: maliao@nju.edu.cn
TUEN WAI NG
Affiliation:
Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong. e-mail: ntw@maths.hku.hk
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Abstract

For differential equations P(y(k), y)=0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 1 , January 2009 , pp. 197 - 206
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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