On unicity of meromorphic solutions to difference Painlevé equation

2018 ◽  
Vol 41 (8) ◽  
pp. 3093-3102
Author(s):  
Feng Lü ◽  
Yanfeng Wang ◽  
Weiran Lü
Keyword(s):  
Painlevé Equation ◽  
Meromorphic Solutions ◽  
Difference Painlevé Equation ◽  
Painleve Equation

scholarly journals ON GENERAL REPRESENTATION OF THE MEROMORPHIC SOLUTIONS OF HIGHER ANALOGUES OF THE SECOND PAINLEVE EQUATION

1997 ◽  
Vol 2 (1) ◽  
pp. 61-65
Author(s):  
V. I. Gromak ◽  
T. S. Stepanova
Keyword(s):  
Mathematical Modelling ◽  
Painlevé Equation ◽  
Meromorphic Solutions ◽  
General Representation ◽  
Modelling Analysis ◽  
Painleve Equation ◽  
Second Painlevé Equation

„On general representation of the meromorphic solutions of higher analogues of the second painleve equation" Mathematical Modelling Analysis, 2(1), p.61-65

scholarly journals Some Properties of Solutions for Someq-Difference Equations Containing Painlevé Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Peng Jun Zhao ◽  
Hong Yan Xu
Keyword(s):  
Difference Equations ◽  
Painlevé Equation ◽  
Meromorphic Solutions ◽  
Exponent Of Convergence ◽  
Painleve Equation

The existence and growth of meromorphic solutionsf(z)for someq-difference equations are studied, and some estimates for the exponent of convergence of poles ofΔqf,Δq2f,Δqf/f, andΔq2f/fare also obtained. Our theorems are improvements and extensions of the previous results.

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