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

Minghui Zhang; Jianbin Xiao; Mingliang Fang; Minghui Zhang; Jianbin Xiao; Mingliang Fang

doi:10.3934/math.2022207

AIMS Mathematics

2022, Volume 7, Issue 3: 3731-3744. doi: 10.3934/math.2022207

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Research article

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

Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China

Received: 11 June 2021 Accepted: 29 November 2021 Published: 08 December 2021
MSC : 30D35

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.
- entire functions,
- linear difference polynomial,
- small functions,
- unicity
Citation: Minghui Zhang, Jianbin Xiao, Mingliang Fang. Entire functions that share a small function with their linear difference polynomial[J]. AIMS Mathematics, 2022, 7(3): 3731-3744. doi: 10.3934/math.2022207

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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.

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