Uniqueness of a Meromorphic Functions Partially Shares a Small Functions with its Linear Difference Polynomial

Recently, some uniqueness theorems about a meromorphic functionf(z) with its shift as well as difference operators sharing three values CMhave been obtained. In this paper, we have obtained the same conclusionas in the earlier results by considering weaker assumption on sharing andby considering the more general function than the shift operators. Furthermoreas a particular cases of our results, we obtain various corollarieswhich greatly improve the earlier results due to Chen, Yi [4], L¨u, L¨u [18]L. Zhen [24] and Barki, Dyavanal, Bhoosnurmath [1]and others.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-06
DOI
https://doi.org/10.5281/zenodo.14288505
Primary Topic
Meromorphic and Entire Functions
Type
article
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article

Uniqueness of a Meromorphic Functions Partially Shares a Small Functions with its Linear Difference Polynomial

Zenodo (CERN European Organization for Nuclear Research)
Meromorphic and Entire Functions
article

Uniqueness of a Meromorphic Functions Partially Shares a Small Functions with its Linear Difference Polynomial

article en

Abstract

Recently, some uniqueness theorems about a meromorphic functionf(z) with its shift as well as difference operators sharing three values CMhave been obtained. In this paper, we have obtained the same conclusionas in the earlier results by considering weaker assumption on sharing andby considering the more general function than the shift operators. Furthermoreas a particular cases of our results, we obtain various corollarieswhich greatly improve the earlier results due to Chen, Yi [4], L¨u, L¨u [18]L. Zhen [24] and Barki, Dyavanal, Bhoosnurmath [1]and others.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 45%
Meromorphic and Entire Functions
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Uniqueness of a Meromorphic Functions Partially Shares a Small Functions with its Linear Difference Polynomial · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS