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Zbl 1152.30024
Chiang, Yik-Man; Feng, Shao-Ji
On the Nevanlinna characteristic of $f(z+\eta)$ and difference equations in the complex plane. (English)
[J] Ramanujan J. 16, No. 1, 105-129 (2008). ISSN 1382-4090; ISSN 1572-9303/e

The difference analogue of some basic results of Nevanlinna theory are proved in the paper.These results are applied to investigate the growth of meromorphic solutions to higher order linear difference equations. This paper is certainly helpful to those who are interested in the difference analogue of Nevanlinna theory.
[Indrajit Lahiri (Kalyani)]

MSC 2000:: *30D35 Distribution of values (one complex variable)
30D30 General theory of meromorphic functions
39A05 General theory of difference equations

Keywords: Poisson-Jensen formula; Meromorphic function; Order of growth; Difference equation

Cited in: Zbl 1236.30030 Zbl 1236.30031 Zbl 1231.39003 Zbl 1180.30039 Zbl 1172.30009

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