The representation of meromorphic solutions for a class of odd order algebraic differential equations and its applications

2014 ◽  
Vol 37 (10) ◽  
pp. 1553-1560 ◽  
Author(s):  
Zifeng Huang ◽  
Liming Zhang ◽  
Qiuhui Chen ◽  
Wenjun Yuan
Keyword(s):  
Differential Equations ◽  
Meromorphic Solutions ◽  
Algebraic Differential Equations ◽  
Odd Order ◽  
Order Algebraic

scholarly journals On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients

1973 ◽  
Vol 49 ◽  
pp. 53-65 ◽  
Author(s):  
Steven B. Bank
Keyword(s):  
Differential Equations ◽  
Meromorphic Functions ◽  
Entire Functions ◽  
Meromorphic Solutions ◽  
Algebraic Differential Equations ◽  
Rate Of Growth ◽  
Order Algebraic

In this paper, we treat the problem of determining the rate of growth of meromorphic functions on the plane, which are solutions of nth order algebraic differential equations whose coefficients are arbitrary entire functions (i.e., equations of the form, Ω(z,y,dy/dz, • • •, dny/dzn) — 0, where Ω is a polynomial in y, dy/dz, • • •, dny/dzn whose coefficients are arbitrary entire functions of z.)

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