Entire solutions of differential equations that are related to trigonometric identities

被引：18
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.
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页数：16
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