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arXiv · 1602.02512

First order algebraic differential equations of genus zero

Norbert Steinmetz
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Abstract

We utilise recent results about the transcendental solutions to Riccati differential equations to provide a comprehensive description of the nature of the transcendental solutions to algebraic first order differential equations of genus zero.

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Norbert Steinmetz. 2016-02-08. First order algebraic differential equations of genus zero. https://doi.org/10.1112/blms.12035

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