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Normality and Uniqueness Property of Meromorphic Function in Terms of Some Differential Polynomials

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Abstract

In this paper, we will consider normality and uniqueness property of a family \(\mathcal {F}\) of meromorphic functions when [Q(f)](k) and [Q(g)](k) share α ignoring multiplicities, for any \(f,g\in \mathcal {F}\), where Q is a polynomial and α is a small function. Our results do not need all of zeros of Q have large order as other authors’ results.

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2017.320.

The author would like to thank the referees for useful suggestions.

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Correspondence to Nguyen Viet Phuong.

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Phuong, N.V. Normality and Uniqueness Property of Meromorphic Function in Terms of Some Differential Polynomials. Vietnam J. Math. 49, 1317–1332 (2021). https://doi.org/10.1007/s10013-020-00460-w

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  • DOI: https://doi.org/10.1007/s10013-020-00460-w

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