Entire solutions of differential equations that are related to trigonometric identities

被引：16

作者：

Gundersen, Gary G. ^{[1
]}

Lu, Wei-Ran ^{[2
]}

Ng, Tuen-Wai ^{[3
]}

Yang, Chung-Chun ^{[4
]}

机构：

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

[2] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[3] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China

[4] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 507卷 / 01期

关键词：

Entire function; Non-linear differential equation; Nevanlinna theory; Monomial; Binomial; Meromorphic function; MEROMORPHIC SOLUTIONS;

D O I：

10.1016/j.jmaa.2021.125788

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove results concerning entire solutions of non-linear binomial differential equations that have connections to trigonometric identities. We also prove a double inequality for the growth of entire solutions of non-linear monomial differential equations. Some open questions are posed. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：16

共 26 条

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