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Growth and Uniqueness Related to Complex Differential and Difference Equations

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In this paper, we consider the growth of entire solutions of differential–difference equations of certain types. We also consider the growth of meromorphic solutions of complex linear difference equations of certain types and derive a result, which is a supplement of previous theorems given by Chen (J Math Anal Appl 373:235–241, 2011). Our additional purpose is to give a difference analogues of Brück conjecture, which is a joint theorem of some previous theorems.

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Correspondence to Junfeng Xu.

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The research was supported by NNSF of China Project (No. 11601521), NSF of Guangdong Province (Nos. 2016A030313002, 2018A0303130058), Funds of Education Department of Guangdong (2016KTSCX145) and the Fundamental Research Fund for Central Universities in China Project (No. 18CX02048A).

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Lü, F., Lü, W., Li, C. et al. Growth and Uniqueness Related to Complex Differential and Difference Equations. Results Math 74, 30 (2019). https://doi.org/10.1007/s00025-018-0945-z

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  • DOI: https://doi.org/10.1007/s00025-018-0945-z

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