Uniqueness theorems on entire functions and their difference operators or shifts
type: Item
instance of: scholarly article
title: Uniqueness theorems on entire functions and their difference operators or shifts
zbMATH Open document ID: 1258.30010
DOI: 10.1155/2012/906893
author: Sheng Li
author: Baoqin Chen
author: Zongxuan Chen
published in: Abstract and Applied Analysis
publication date: 2012-07-18T00:00:00Z
review text: Uniqueness theory of meromorphic functions is an important part of the Nevanlinna theory. The authors study the uniqueness problems on entire functions and their difference operators or shifts. The main result is a difference analogue of a result of \textit{G. Jank} et al. [Complex Variables, Theory Appl. 6, 51--71 (1986; Zbl 0603.30037)], which is concerned with the uniqueness of the entire function sharing one finite value with its derivatives. Moreover, two relative results are proved, and examples are provided for their results.
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30D10
zbMATH DE Number: 6058177
zbMATH Keywords: uniqueness problems
zbMATH Keywords: entire functions
zbMATH Keywords: difference operators or shifts
reviewed by: Yinying Kong
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/906893
OpenAlex ID: W2070947817
Wikidata QID: Q58697059
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description: scientific article; zbMATH DE number 6058177