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Research Article | Open Access

Entire functions that share a small function with their linear difference polynomial

Minghui Zhang, Jianbin Xiao, Mingliang Fang( )
Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China
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Abstract

In this paper, we investigate the uniqueness of an entire function sharing a small function with its linear difference polynomial. Our results improve some results due to Li and Yi [11], Zhang, Chen and Huang [17], Zhang, Kang and Liao [18,19] etc.

Keywords

entire functionslinear difference polynomialsmall functionsunicity
CLC number: 30D35

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 3731-3744
DOI: 10.3934/math.2022207

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Cite this article:
Zhang M, Xiao J, Fang M. Entire functions that share a small function with their linear difference polynomial. AIMS Mathematics, 2022, 7(3): 3731-3744. https://doi.org/10.3934/math.2022207

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Received: 11 June 2021
Accepted: 29 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)