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Meromorphic functions that share fixed points with finite weights. (English) Zbl 1312.30049
Summary: With the aid of weighted sharing method we study the uniqueness of meromorphic (entire) functions concerning some general nonlinear differential polynomials sharing fixed points. The results of the paper improve and generalize some results due to J. L. Zhang [Comput. Math. Appl. 56, No. 12, 3079–3087 (2008; Zbl 1165.30362)] and the author [Ann. Pol. Math. 100, No. 2, 127–145 (2011; Zbl 1233.30020)].

MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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