The Periodicity of Entire Functions with Finite Order

Zhiguo Ren, Guoqiang Dang and kit C. Chan

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: This paper is concerned with the periodicity of entire functions with finite growth order, and some sufficient conditions are given. Let f is a transcendental entire function with finite growth order, zero is a Picard exceptional value of f, and a given differential monomial Qf of f is periodic, then f is also periodic. We are also interested in finding the following: let f is a transcendental entire function with finite growth order, d is a Picard exceptional value of f and fzΔcnfz is a periodic function, then f is also a periodic function. These results extend Yang’s conjecture.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9995695

DOI: 10.1155/2021/9995695

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