Some properties of meromorphic solutions of q-difference equations

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Abstract

We investigate the growth of transcendental meromorphic solutions of some complex q-difference equations and find lower bounds for Nevanlinna lower order for meromorphic solutions of such equations. We also obtain a q-difference version of Tumura–Clunie theorem.

Keywords

Complex q-difference equation
Meromorphic solution
Growth

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This project was supported by the National Natural Science Foundation of China (No. 10871076).