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Value distributions and uniqueness of difference polynomials. (English) Zbl 1216.30035

Summary: We investigate the zero distributions of difference polynomials of meromorphic functions, which can be viewed as the Hayman conjecture (introduced by Hayman in 1967) for differences. And we also study the uniqueness of difference polynomials of meromorphic functions sharing a common value, and obtain uniqueness theorems for differences.

MSC:

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