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Uniqueness results related to polynomial and differential polynomial. (English) Zbl 1381.30022

Summary: In this paper we study the problem of uniqueness of meromorphic functions concerning polynomial and differential polynomial with finite weight. Our result generalizes the results proved by Q. Zhang [JIPAM, J. Inequal. Pure Appl. Math. 6, No. 4, Paper No. 116, 13 p. (2005; Zbl 1097.30033)] and also results obtained by the authors [“On uniqueness of meromorphic function that share one small function with their derivatives”, Int. Electron. J. Pure Appl. Math. 10, No. 1, 63–75 (2016; doi:10.12732/iejpam.v10i1.6)].

MSC:

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

Citations:

Zbl 1097.30033
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