Meromorphic solutions of higher order Briot-Bouquet differential equations

Details Meromorphic solutions of higher order Briot-Bouquet differential equations Meromorphic solutions of higher order Briot-Bouquet differential equations

2007-07-19

arxiv.org/abs/0707.2898v2

Math. Proc. Cambridge Philos. Soc., v. 146, no. 1 (2009) 197-206

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1017/S030500410800176X

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.

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