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Uniqueness of entire or meromorphic functions concerning differential polynomials. (English) Zbl 1180.30038

Summary: We study uniqueness problems for entire and meromorphic functions concerning differential polynomials that share one slowly growing meromorphic function. Furthermore, we greatly improve and generalize some former results obtained by M.-L. Fang and {W. Hong} [Indian J. Pure Appl. Math. 32, No.9, 1343–1348 (2001; Zbl 1005.30023)], Lin and Yi [Indian J. Pure Appl. Math. 35, No. 2, 121–132 (2004; Zbl 1056.30031)], W. Xiong and W. Lin [J. Anal. Appl. 4, No. 1, 51–63 (2006; Zbl 1179.30031)].

MSC:

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