Entire functions that share a small function with their derivatives

被引：29

作者：

Chang, Jianming ^{[1
]}

Zhu, Yingzhong ^{[2
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

[2] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Meromorphic functions; Entire functions; Differential equation;

D O I：

10.1016/j.jmaa.2008.07.080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be an entire function of finite order and a an entire function of order less than f's. If f - a and f' - a have the same zeros with the same multiplicities, then f' - a c(f - a) for some non-zero constant c. (C) 2008 Published by Elsevier Inc.

引用

页码：491 / 496

页数：6

共 50 条

[41] Erratum to: Results on uniqueness of entire functions whose certain difference polynomials share a small function
P. Sahoo
H. Karmakar
Analysis Mathematica, 2017, 43 : 629 - 630
[42] Results on uniqueness of entire functions whose certain difference polynomials share a small functionРезультаты o единственности целых функций, некоторые разностные полиномы которых разделяют малую функцию
Pulak Sahoo
Himadri Karmakar
Analysis Mathematica, 2015, 41 (4) : 257 - 272
[43] SOME APPLICATIONS OF NEVANLINNA THEORY TO ENTIRE FUNCTIONS THAT SHARE A SMALL FUNCTION WITH TWO DIFFERENCE OPERATORS
Miloudi, Boudaoud
ARCHIVUM MATHEMATICUM, 2024, 60 (03): : 177 - 188
[44] The uniqueness of an entire function sharing a small entire function with its derivatives
Wang, Jun
Li, Xiao-Min
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 478 - 489
[45] Relationship between Entire Functions and Their Derivatives Sharing Small Function except a Set
Lu, Feng
FILOMAT, 2018, 32 (19) : 6845 - 6855
[46] Approximation of a Function and its Derivatives by Entire Functions
Gauthier, Paul M.
Kienzle, Julie
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2016, 59 (01): : 87 - 94
[47] ENTIRE FUNCTIONS SHARING A SMALL ENTIRE FUNCTION WITH THEIR DIFFERENCE OPERATORS
Zhang, J.
Kang, H. Y.
Liao, L. W.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (05): : 1121 - 1129
[48] Entire Function Sharing a Small Function with Its Derivatives
Zhang, Huiliang
Gao, Zongsheng
Zhang, Yueyang
PROCEEDINGS OF THE 2015 4TH INTERNATIONAL CONFERENCE ON COMPUTER, MECHATRONICS, CONTROL AND ELECTRONIC ENGINEERING (ICCMCEE 2015), 2015, 37 : 79 - 85
[49] Uniqueness of entire functions sharing an entire function of smaller order with their derivatives
Li X.-M.
Yi H.-X.
Journal of Mathematical Sciences, 2011, 175 (1) : 17 - 32
[50] Meromorphic functions whose derivatives share four small functions
Qiu, GD
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (05): : 761 - 767

← 1 2 3 4 5 →