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Zbl 1153.30030
Laine, Ilpo; Yang, Chung-Chun
Value distribution of difference polynomials. (English)
[J] Proc. Japan Acad., Ser. A 83, No. 8, 148-151 (2007). ISSN 0386-2194

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.
[George Csordas (Honolulu)]

MSC 2000:: *30D35 Distribution of values (one complex variable)
39A05 General theory of difference equations

Keywords: Nevanlinna theory; difference polynomial; Tumura-Clunie theorem

Cited in: Zbl 1213.30060 Zbl 1173.30018

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