Further Results about a Special Fermat-Type Difference Equation

In this paper, we prove the difference equation Fz3+ΔcFz+c3=1 does not have meromorphic solution of finite order over the complex plane C. We also discuss an application to the unique range set problem.

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Main Authors: Hongwei Ma, Jianming Qi, Zhenjie Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/3205357
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author Hongwei Ma
Jianming Qi
Zhenjie Zhang
author_facet Hongwei Ma
Jianming Qi
Zhenjie Zhang
author_sort Hongwei Ma
collection DOAJ
description In this paper, we prove the difference equation Fz3+ΔcFz+c3=1 does not have meromorphic solution of finite order over the complex plane C. We also discuss an application to the unique range set problem.
format Article
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institution OA Journals
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-4340e4e21e684a5aaf9053fa20e80dd52025-08-20T02:37:58ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/32053573205357Further Results about a Special Fermat-Type Difference EquationHongwei Ma0Jianming Qi1Zhenjie Zhang2School of Business, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Business, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Business, Shanghai Dianji University, Shanghai 201306, ChinaIn this paper, we prove the difference equation Fz3+ΔcFz+c3=1 does not have meromorphic solution of finite order over the complex plane C. We also discuss an application to the unique range set problem.http://dx.doi.org/10.1155/2020/3205357
spellingShingle Hongwei Ma
Jianming Qi
Zhenjie Zhang
Further Results about a Special Fermat-Type Difference Equation
Journal of Function Spaces
title Further Results about a Special Fermat-Type Difference Equation
title_full Further Results about a Special Fermat-Type Difference Equation
title_fullStr Further Results about a Special Fermat-Type Difference Equation
title_full_unstemmed Further Results about a Special Fermat-Type Difference Equation
title_short Further Results about a Special Fermat-Type Difference Equation
title_sort further results about a special fermat type difference equation
url http://dx.doi.org/10.1155/2020/3205357
work_keys_str_mv AT hongweima furtherresultsaboutaspecialfermattypedifferenceequation
AT jianmingqi furtherresultsaboutaspecialfermattypedifferenceequation
AT zhenjiezhang furtherresultsaboutaspecialfermattypedifferenceequation