The Periodicity on a Transcendental Entire Function with its Differential Polynomials

被引：7

作者：

Wei, Y. M. ^{[1
]}

Liu, K. ^{[1
]}

Liu, X. L. ^{[1
,2
]}

机构：

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

[2] Univ Eastern Finland, Dept Phys & Math, POB 111, Joensuu 80101, Finland

来源：

ANALYSIS MATHEMATICA | 2021年 / 47卷 / 03期

关键词：

periodicity; entire function; differential polynomial;

D O I：

10.1007/s10476-021-0098-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the relationship on the periodicity of a transcendental entire function with its differential polynomials. For example, we obtain that if f is a transcendental entire function, k is a non-negative integer and if (a(n)f(n) + + a(1)f)((k)) is a periodic function, then f is also a periodic function, where a(1), ... a(n) (not equal 0) are constants. Our results are related to Yang's Conjecture on the periodicity of transcendental entire functions.

引用

页码：695 / 708

页数：14

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