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.

引用

页数：16

共 26 条

[1]

Chuang CT., 1990, Fixed Points and Factorization Theory of Meromorphic Functions

[2]

CLUNIE J., 1970, Mathematical Essays, P75

[3]

Clunie J., 1962, J. Lond. Math. Soc, V37, P17, DOI [/10.1112/jlms/s1-37.1.17, DOI 10.1112/JLMS/S1-37.1.17]

[4] Entire Solutions of Binomial Differential Equations [J].

Gundersen, Gary G. ;

Yang, Chung-Chun .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2021, 21 (04) :605-617

[5]

Hayman W.K., 1965, Proc. Lond. Math. Soc, V14, P93, DOI [10.1112/plms/s3-14A.1.93, DOI 10.1112/PLMS/S3-14A.1.93]

[6]

Hayman W.K., 1964, Oxford Mathematical Monographs

[7]

Laine I., 1993, Nevanlinna theory and complex differential equations

[8]

Li P, 2019, HOUSTON J MATH, V45, P431

[9] Entire solutions of certain type of differential equations II [J].

Li, Ping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) :310-319

[10]

Li X.L., 2020, B AUST MATH SOC, DOI [10.1017/S0004972720000039, DOI 10.1017/S0004972720000039]

← 1 2 3 →