Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts
We study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Two relative results...
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Hindawi Limited
2012-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/906893 |
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doaj-09ac2375b0aa40f594acdb2e3519a68d2020-11-24T23:28:26ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/906893906893Uniqueness Theorems on Entire Functions and Their Difference Operators or ShiftsBaoqin Chen0Zongxuan Chen1Sheng Li2School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaCollege of Science, Guangdong Ocean University, Zhangjiang 524088, ChinaWe study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Two relative results are proved, and examples are provided for our results.http://dx.doi.org/10.1155/2012/906893 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Baoqin Chen Zongxuan Chen Sheng Li |
spellingShingle |
Baoqin Chen Zongxuan Chen Sheng Li Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts Abstract and Applied Analysis |
author_facet |
Baoqin Chen Zongxuan Chen Sheng Li |
author_sort |
Baoqin Chen |
title |
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts |
title_short |
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts |
title_full |
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts |
title_fullStr |
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts |
title_full_unstemmed |
Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts |
title_sort |
uniqueness theorems on entire functions and their difference operators or shifts |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2012-01-01 |
description |
We study the uniqueness problems on entire functions and their difference operators or shifts. Our main result is a difference analogue of a result of Jank-Mues-Volkmann, which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Two relative results are proved, and examples are provided for our results. |
url |
http://dx.doi.org/10.1155/2012/906893 |
work_keys_str_mv |
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