First-order algebraic differential equations of genus zero

被引：3

作者：

Steinmetz, Norbert ^{[1
]}

机构：

[1] Tech Univ Dortmund, Inst Math, D-44221 Dortmund, Germany

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2017年 / 49卷 / 03期

关键词：

34M05 (primary); 34M10; 30D35 (secondary); MEROMORPHIC SOLUTIONS; THEOREM; ORDER;

D O I：

10.1112/blms.12035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：391 / 404

页数：14

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