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Results in Mathematics

, 74:30 | Cite as

Growth and Uniqueness Related to Complex Differential and Difference Equations

  • Feng Lü
  • Weiran Lü
  • Cuiping Li
  • Junfeng XuEmail author
Article
First Online:
  • 37 Downloads

Abstract

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.

Keywords

Meromorphic solution brück conjecture differential and difference equation growth uniqueness 

Mathematics Subject Classification

30D35 39A10 
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Notes

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of ScienceChina University of PetroleumQingdaoPeople’s Republic of China
  2. 2.Department of MathematicsWuyi UniversityJiangmenPeople’s Republic of China

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