Research articles
ScienceAsia 48 (2022):ID 759-763 |doi:
10.2306/scienceasia1513-1874.2022.097
The periodicity on a transcendental entire function with its
differential-difference polynomials
Yong Liua,b,*, Shuai Jianga
ABSTRACT: According to a conjecture by C. C. Yang [Houston J Math 45 (2019):431?437], if ?(z)?(k)
(z) is a periodic
function, where ?(z) is a transcendental entire function and k is a positive integer, then ?(z) is also a periodic function.
We consider the related questions, which can be viewed as differential-difference versions of Yang?s conjecture. We
discuss the periodicity of a transcendental entire function ?(z) when differential-difference polynomials in ?(z) are
periodic.
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| a |
Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000 China |
| b |
College of Science, Ningbo University of Technology, Ningbo, Zhejiang 315211 China |
* Corresponding author, E-mail: liuyongsdu@aliyun.com
Received 8 Sep 2021, Accepted 13 Apr 2022
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