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Properties of meromorphic solutions to certain differential-difference equations. (English) Zbl 1293.39001

Summary: We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional equation. This article extends earlier results by K. Liu et al. [Arch. Math. 99, No. 2, 147–155 (2012; Zbl 1270.34170)].

MSC:

39A10 Additive difference equations
39A45 Difference equations in the complex domain
39B32 Functional equations for complex functions
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Citations:

Zbl 1270.34170
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