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.
KeywordsMeromorphic solution brück conjecture differential and difference equation growth uniqueness
Mathematics Subject Classification30D35 39A10
- 17.Yi, H.X., Yang, C.C.: Uniqueness Theory of Meromorphic Functions. Science Press, Beijing (1995)Google Scholar