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arxiv: 0707.2898 · v2 · pith:W2G7GKIKnew · submitted 2007-07-19 · 🧮 math.CA · math.CV

Meromorphic solutions of higher order Briot-Bouquet differential equations

classification 🧮 math.CA math.CV
keywords differentialequationsmeromorphicsolutionsbriot-bouquetdegenerateellipticfunctions
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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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