A NOTE ON THE PERIODICITY OF ENTIRE FUNCTIONS

被引:18
作者
Liu, Kai [1 ]
Yu, Peiyong [1 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
关键词
periodic function; entire function; value sharing;
D O I
10.1017/S0004972719000030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give some sufficient conditions for the periodicity of entire functions based on a conjecture of C. C. Yang, using the concepts of value sharing, unique polynomial of entire functions and Picard exceptional value.
引用
收藏
页码:290 / 296
页数:7
相关论文
共 12 条
[1]  
Baker I. N., 1966, ACTA SCI MATH SZEGED, V27, P197
[2]   HOLOMORPHIC CURVES WITH SHIFT-INVARIANT HYPERPLANE PREIMAGES [J].
Halburd, Rodney ;
Korhonen, Risto ;
Tohge, Kazuya .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (08) :4267-4298
[3]  
Hayman W. K., 1964, Meromorphic Functions
[4]   Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity [J].
Heittokangas, J. ;
Korhonen, R. ;
Laine, I. ;
Rieppo, J. ;
Zhang, J. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) :352-363
[5]  
Laine I, 1993, NEVANLINNA THEORY CO
[6]  
Li P, 2006, P JPN ACAD A-MATH, V82, P183
[7]   A note on the Bruck conjecture [J].
Li, Sheng ;
Gao, Zongsheng .
ARCHIV DER MATHEMATIK, 2010, 95 (03) :257-268
[8]  
[王琼 Wang Qiong], 2018, [数学物理学报. A辑, Acta Mathematica Scientia], V38, P209
[9]  
Yang C. C., 2003, Math. Appl., V557, DOI DOI 10.1007/978-94-017-3626-8
[10]  
Yang C. C., 1997, Mat. Fiz. Anal. Geom., V4, P391