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Nevanlinna uniqueness of linear difference polynomials. (English) Zbl 1372.30020

Using the notion of weighted value sharing [the reviewer, Nagoya Math. J. 161, 193–206 (2001; Zbl 0981.30023)] the authors prove that, under certain conditions, an entire function and its linear difference polynomial coincide. They also prove two more similar results using truncated sharing of values. The theorems of the paper improve some existing results.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39A05 General theory of difference equations

Citations:

Zbl 0981.30023
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