Entire Solutions of Binomial Differential Equations

被引：10

作者：

Gundersen, Gary G. ^{[1
]}

Yang, Chung-Chun ^{[2
]}

机构：

[1] Univ New Orleans, Dept Math, New Orleans, LA 70148 USA

[2] Nanjing Univ, Dept Math, Nanjing 2100930, Jiangsu, Peoples R China

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2021年 / 21卷 / 04期

关键词：

Entire function; Non-linear differential equation; Binomial differential equation; Meromorphic function; Nevanlinna theory; ZEROS;

D O I：

10.1007/s40315-021-00384-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find explicit forms for all the entire solutions of a certain type of non-linear binomial differential equation. This has connections to results of Hayman, Mues, Langley and Bergweiler. Observations about entire solutions of two similar types of binomial differential equations are discussed, and open questions about all three types of equations are posed.

引用

页码：605 / 617

页数：13

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