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Uniqueness of meromorphic functions sharing sets with its linear difference polynomials

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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.

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Acknowledgements

The authors would like to thank the anonymous referee(s) for the helpful suggestions and comments to improve the clarity and presentation of the paper.

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  1. Department of Mathematics, Malda College, Malda, West Bengal, 732101, India

    Goutam Haldar

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  1. Goutam Haldar
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Haldar, G. Uniqueness of meromorphic functions sharing sets with its linear difference polynomials. J Anal 31, 1011–1027 (2023). https://doi.org/10.1007/s41478-022-00495-x

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