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Some properties about complex difference equations of Malmquist type. (English) Zbl 1433.30078

Summary: This article presents versions of the Malmquist type equation. We study the growth of transcendental meromorphic solutions of some complex \((qz+c)\) difference equations and find lower bounds for Nevanlinna lower order for meromorphic solutions of such equations. We also obtain a \((qz+c)\) difference version of Tumura-Clunie theorem, which improves the results of X.-M. Zheng and Z.-X. Chen [J. Math. Anal. Appl. 361, No. 2, 472–480 (2010; Zbl 1185.39006)].

MSC:

30D15 Special classes of entire functions of one complex variable and growth estimates
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Citations:

Zbl 1185.39006
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References:

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