Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications

2018 ◽  
Vol 41 (10) ◽  
pp. 3832-3840 ◽  
Author(s):  
Yongyi Gu ◽  
Wenjun Yuan ◽  
Najva Aminakbari ◽  
Jianming Lin
Keyword(s):  
Differential Equations ◽  
Painlevé Equation ◽  
Meromorphic Solutions ◽  
Algebraic Differential Equations ◽  
Painleve Equation

scholarly journals Order of growth of solutions to algebraic differential equations in the unit disk

2004 ◽  
Vol 2004 (41) ◽  
pp. 2161-2170 ◽  
Author(s):  
D. Benbourenane ◽  
L. R. Sons
Keyword(s):  
Differential Equations ◽  
Unit Disk ◽  
Finite Order ◽  
Meromorphic Solutions ◽  
Order Of Growth ◽  
Growth Estimate ◽  
Algebraic Differential Equations ◽  
Uniform Growth ◽  
Growth Of Solutions

S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.

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