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UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH WEAKLY WEIGHTED SHARING
Published online by Cambridge University Press: 28 June 2013
Abstract
In this paper, we introduce the notion of weakly weighted sharing of zeros of meromorphic functions ignoring multiplicities, which extends the notion of weakly weighted sharing counting multiplicities, and we also introduce the notion of multiplicity. By using these notions, we prove some results on the uniqueness of meromorphic functions concerning differential polynomials sharing nonzero finite values. The results in this paper extend the results of Yang and Hua, Fang, and Dyavanal. In this paper, we correct defective points in the paper of Wu et al. [‘Uniqueness of meromorphic functions sharing one value’, Bull. Aust. Math. Soc. 85(2012), 280–294].
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- Research Article
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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