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)].


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


Zbl 1270.34170
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