The Periodicity of Entire Functions with Finite Order
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, the...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9995695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550565679202304 |
|---|---|
| author | Zhiguo Ren Guoqiang Dang |
| author_facet | Zhiguo Ren Guoqiang Dang |
| author_sort | Zhiguo Ren |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7632f45d0125426c8fed3ffac7b9b0a4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7632f45d0125426c8fed3ffac7b9b0a42025-02-03T06:06:28ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99956959995695The Periodicity of Entire Functions with Finite OrderZhiguo Ren0Guoqiang Dang1Department of Education and Educational Technology, Jiangmen Polytechnic, Jiangmen 529090, Guangdong, ChinaSchool of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaThis 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.http://dx.doi.org/10.1155/2021/9995695 |
| spellingShingle | Zhiguo Ren Guoqiang Dang The Periodicity of Entire Functions with Finite Order Journal of Mathematics |
| title | The Periodicity of Entire Functions with Finite Order |
| title_full | The Periodicity of Entire Functions with Finite Order |
| title_fullStr | The Periodicity of Entire Functions with Finite Order |
| title_full_unstemmed | The Periodicity of Entire Functions with Finite Order |
| title_short | The Periodicity of Entire Functions with Finite Order |
| title_sort | periodicity of entire functions with finite order |
| url | http://dx.doi.org/10.1155/2021/9995695 |
| work_keys_str_mv | AT zhiguoren theperiodicityofentirefunctionswithfiniteorder AT guoqiangdang theperiodicityofentirefunctionswithfiniteorder AT zhiguoren periodicityofentirefunctionswithfiniteorder AT guoqiangdang periodicityofentirefunctionswithfiniteorder |