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Uniqueness of meromorphic functions sharing sets with its linear difference polynomials

Uniqueness of meromorphic functions sharing sets with its linear difference polynomials In this paper, we investigate the uniqueness property of meromorphic functions that share two sets with finite weight with its linear difference polynomials. Using the polynomial introduced in Banerjee and Ahamed (FILOMAT 33(18) 6055–6072, 2019), we have improved the result of Li and Chen (Abstr Appl Anal 2014(Article ID 894968):7, 2014) in the sense of reducing cardinalities of the main set S and the associated weights. Some examples have been exhibited to validate our certain claims in the main result. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Uniqueness of meromorphic functions sharing sets with its linear difference polynomials

The Journal of Analysis , Volume OnlineFirst – Sep 20, 2022

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to The Forum D’Analystes 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-022-00495-x
Publisher site
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Abstract

In this paper, we investigate the uniqueness property of meromorphic functions that share two sets with finite weight with its linear difference polynomials. Using the polynomial introduced in Banerjee and Ahamed (FILOMAT 33(18) 6055–6072, 2019), we have improved the result of Li and Chen (Abstr Appl Anal 2014(Article ID 894968):7, 2014) in the sense of reducing cardinalities of the main set S and the associated weights. Some examples have been exhibited to validate our certain claims in the main result.

Journal

The Journal of AnalysisSpringer Journals

Published: Sep 20, 2022

Keywords: Meromorphic function; Shift operator; Linear difference operator; weighted sharing; 30D35

References