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Value distribution of difference polynomials. (English) Zbl 1153.30030
The authors continue their investigations of the value distribution of difference polynomials of meromorphic functions. They show in particular (cf. Theorem 1) that extending the Tumura-Clunie type theorems to difference polynomials requires some additional assumptions. The paper concludes with a discussion and a suggestion for obtaining a difference counterpart of a restricted variant of the Tumura-Clunie theorem.

MSC:
30D35Distribution of values (one complex variable); Nevanlinna theory
39A05General theory of difference equations