Growth of meromorphic solutions of algebraic differential equations in angular domains

1990 ◽  
Vol 31 (2) ◽  
pp. 289-295
Author(s):  
A. Z. Mokhon'ko
Keyword(s):  
Differential Equations ◽  
Meromorphic Solutions ◽  
Algebraic Differential Equations ◽  
Angular Domains

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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