Entire solutions of certain type binomial differential equations

被引：4

作者：

Wu, Linlin ^{[1
]}

Liu, Manli ^{[2
]}

Hu, Peichu ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

[2] South China Agr Univ, Dept Math, Guangzhou 510642, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 02期

关键词：

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

D O I：

10.1007/s13324-023-00784-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In connection to some questions proposed by Gundersen and Yang, we devote to explore existence and forms of entire solutions of non-linear binomial differential equations. This is related to previous results of Hayman, Mues, Langley and Bergweiler. Moreover, we explain by some examples that our results are accurate.

引用

页数：17

共 15 条

[1] ON THE ZEROS OF CERTAIN HOMOGENEOUS DIFFERENTIAL POLYNOMIALS
BERGWEILER, W
[J]. ARCHIV DER MATHEMATIK, 1995, 64 (03) : 199 - 202
[2] Fang ML., 2000, ANALYSIS-UK, V20, P45, DOI [10.1524/anly.2000.20.1.45, DOI 10.1524/ANLY.2000.20.1.45]
[3] Entire solutions of differential equations that are related to trigonometric identities
Gundersen, Gary G.
Lu, Wei-Ran
Ng, Tuen-Wai
Yang, Chung-Chun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (01)
[4] Entire Solutions of Binomial Differential Equations
Gundersen, Gary G.
Yang, Chung-Chun
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2021, 21 (04) : 605 - 617
[5] PICARD VALUES OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES
HAYMAN, WK
[J]. ANNALS OF MATHEMATICS, 1959, 70 (01) : 9 - 42
[6] Hayman WK., 1964, Meromorphic functions
[7] Laine I., 1993, De Gruyter Studies in Mathematics, V15, DOI [10.1515/9783110863147, DOI 10.1515/9783110863147]
[8] LANGLEY JK, 1993, J LOND MATH SOC, V48, P500
[9] Langley JK., 1999, RESULTS MATH, V35, P284, DOI [10.1007/BF03322820, DOI 10.1007/BF03322820]
[10] Liao LW., 2005, INDIAN J PURE AP MAT, V29, P1063

← 1 2 →