Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts

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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Bibliographic Details
Main Authors: Baoqin Chen, Zongxuan Chen, Sheng Li
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/906893
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spelling 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 AT baoqinchen uniquenesstheoremsonentirefunctionsandtheirdifferenceoperatorsorshifts
AT zongxuanchen uniquenesstheoremsonentirefunctionsandtheirdifferenceoperatorsorshifts
AT shengli uniquenesstheoremsonentirefunctionsandtheirdifferenceoperatorsorshifts
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