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arXiv:0707.2898 [math.CA]AbstractReferencesReviewsResources

Meromorphic solutions of higher order Briot-Bouquet differential equations

A. Eremenko, L. W. Liao, T. W. Ng

Published 2007-07-19, updated 2008-03-03Version 2

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.

Journal: Math. Proc. Cambridge Philos. Soc., v. 146, no. 1 (2009) 197-206
Categories: math.CA, math.CV
Subjects: 34M05, 30D05
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