Uniqueness of Meromorphic Functions Concerning Their Differences and Solutions of Difference PainlevÉ Equations



This paper is devoted to studying some shared value properties for finite-order meromorphic solutions of the difference Painlevé IV equation. We also consider sharing value problems for the derivative of a meromorphic function f(z) with its shift \(f(z+c)\) and difference \(\Delta f\).


Meromorphic functions Difference Painlevé equation Value sharing 

Mathematics Subject Classification

Primary 39A05 Secondary 30D35 



The authors would like to thank the referee for his/her helpful suggestions and comments.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsUniversity of JinanJinanPeople’s Republic of China
  2. 2.School of MathematicsShandong UniversityJinanPeople’s Republic of China

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