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A Polynomial Shared by Certain Differential Polynomials

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Abstract

The principal objective of the paper is to study the uniqueness of meromorphic functions when two differential polynomials share a nonzero polynomial. A result of Yang and Hua (Ann Acad Sci Fenn Math 22:395–406, 1997) is the starting point of this kind of research. In this direction, Majumder (Math Slovaca 67(1):151–164, 2017) proved two results, which contain a major gap in their proofs. In the paper, we not only present a corrected version of the results of Majumder but also provide some improvement of those.

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Acknowledgements

The authors are thankful to the referees for valuable suggestions toward the improvement of the paper.

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Correspondence to Indrajit Lahiri.

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Communicated by Ali Abkar.

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Lahiri, I., Sinha, K. A Polynomial Shared by Certain Differential Polynomials. Bull. Iran. Math. Soc. 49, 7 (2023). https://doi.org/10.1007/s41980-023-00745-z

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  • DOI: https://doi.org/10.1007/s41980-023-00745-z

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