The Periodicity of Entire Functions with Finite Order. (6th May 2021)

• Record Type: Journal Article
• Authors: Ren, Zhiguo; Dang, Guoqiang
• Other Names: Chan kit C. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-05-06
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/9995695
• Languages: English
• ISSNs: 2314-4629

Abstract

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 Q f 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 f z Δ c n f z is a periodic function, then f is also a periodic function. These results extend Yang's conjecture.