Uniqueness for meromorphic solutions of Schwarzian differential equation

被引：1

作者：

Yao, Dan-Gui ^{[1
]}

Huang, Zhi-Bo ^{[1
]}

Zhang, Ran-Ran ^{[2
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[2] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 11期

基金：

中国国家自然科学基金;

关键词：

differential equation; meromorphic function; sharing value; uniqueness;

D O I：

10.3934/math.2021727

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a meromorphic function, R be a nonconstant rational function and k be a positive integer. In this paper, we consider the Schwarzian di fferential equation of the form [f'"/f' - 3/2(f '' f')(2)] = R(z). We investigate the uniqueness of meromorphic solutions of the above Schwarzian di fferential equation if the meromorphic solution f shares three values with any other meromorphic function.

引用

页码：12619 / 12631

页数：13

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