二阶代数微分方程超越亚纯解

Transcendental Meromorphic Solutions of Second-Order Algebraic Differential Equations

中文关键词:  亚纯函数  超越亚纯解  二阶代数微分方程.

英文关键词:meromorphic functions  transcendental meromorphic solutions  second-order algebraic differential equations.

中文摘要:

      利用亚纯函数的Nevanlinna值分布理论,讨论了二阶代数微分方程的超越亚纯解的一些性质,推广了一些作者的结果.

英文摘要:

      Using Nevanlinna theory of the value distribution of meromorphic functions, we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations, and generalize some results of some authors.