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Meromorphic function that shares one small function with its derivative. (English) Zbl 1097.30033
In this well written paper the author studies the uniqueness of a meromorphic function which shares one small function with its derivative. Using the notion of weighted sharing of values he improves some results of K.-W. Yu [“On entire and meromorphic functions that share small functions with their derivatives”, J. Inequal. Pure Appl. Math. 4, Art. 21, 7p. (2003; Zbl 1021.30030)] and the reviewer and A. Sarkar [“Uniqueness of a meromorphic function and its derivative”, ibid. 5, Art. 20, 9p. (2004; Zbl 1056.30030)]. He also answers some questions asked by K. W. Yu.

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