GENERALIZED YANG'S CONJECTURE ON THE PERIODICITY OF ENTIRE FUNCTIONS

被引：17

作者：

Liu, Kai ^{[1
]}

Wei, Yuming ^{[1
]}

Yu, Peiyong ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 05期

关键词：

Entire functions; periodicity; differential-difference equations; DIFFERENTIAL-DIFFERENCE EQUATIONS;

D O I：

10.4134/BKMS.b190934

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the periodicity of transcendental entire functions, Yang's Conjecture is proposed in [6, 13]. In the paper, we mainly consider and obtain partial results on a general version of Yang's Conjecture, namely, if f(z)(n) f((k))(z) is a periodic function, then f (z) is also a periodic function. We also prove that if f (z)(n) + f((k)) (z) is a periodic function with additional assumptions, then f (z) is also a periodic function, where n, k are positive integers.

引用

页码：1259 / 1267

页数：9

共 17 条

[11]

Renyi A., 1965, J ANAL MATH, V14, P303, DOI DOI 10.1007/BF02806397

[12]

Titchmarsh E.C., 1964, The theory of functions

[13]

[王琼 Wang Qiong], 2018, [数学物理学报. A辑, Acta Mathematica Scientia], V38, P209

[14]

Yang C.-C., 2003, Uniqueness Theory of Meromorphic Functions, V557

[15] A GENERALIZATION OF A THEOREM OF MONTEL,P ON ENTIRE FUNCTIONS [J].

YANG, CC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 26 (02) :332-&

[16] PERIODICITY OF ENTIRE FUNCTIONS [J].

YANG, CC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 43 (02) :353-356

[17] Entire solutions of a certain type of functional-differential equations [J].

Zhang Xiao-bin ;

Yi Hong-xun .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2013, 28 (02) :138-146

← 1 2 →