scholarly journals Growth and oscillation of polynomial of linearly independent meromorphic solutions of second order linear differential equations in the unit disc

2013 ◽  
Vol 17 (2) ◽  
pp. 39-50
Author(s):  
Benharrat Belaïdi ◽  
Zinelâabidine Latreuch
Keyword(s):  
Differential Equations ◽  
Unit Disc ◽  
Second Order ◽  
Linear Differential Equations ◽  
Meromorphic Solutions ◽  
Order Linear ◽  
Linearly Independent ◽  
Linear Differential

scholarly journals The Oscillation on Solutions of Some Classes of Linear Differential Equations with Meromorphic Coefficients of Finite[p,q]-Order

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Hong-Yan Xu ◽  
Jin Tu ◽  
Zu-Xing Xuan
Keyword(s):  
Meromorphic Function ◽  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Meromorphic Solutions ◽  
Order Linear ◽  
Linear Differential

This paper considers the oscillation on meromorphic solutions of the second-order linear differential equations with the formf′′+A(z)f=0,whereA(z)is a meromorphic function with[p,q]-order. We obtain some theorems which are the improvement and generalization of the results given by Bank and Laine, Cao and Li, Kinnunen, and others.

SOME PROPERTIES OF COMBINATION OF SOLUTIONS TO SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS OF [P;Q]-ORDER IN THE UNIT DISC

2015 ◽  
Vol 1 (1) ◽  
pp. 11-18
Author(s):  
Benharrat Belaïdi ◽  
Zinelâabidine Latreuch
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Unit Disc ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential

In this paper, we consider some properties on the growth and oscillation of combination of solutions of the linear differential equation \[f'' + A(z) f' + B (z) f = 0\] with analytic coefficients A(z) and B (z) with [p; q]-order in the unit disc $\Delta = \{z \in \mathbb{C} : |z| < 1\}$.

scholarly journals Some Properties of Solutions of Second-Order Linear Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Zinelaâbidine Latreuch ◽  
Benharrat Belaïdi
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Finite Order ◽  
Entire Functions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linearly Independent ◽  
Linear Differential

We study the growth and oscillation of gf=d1f1+d2f2, where d1 and d2 are entire functions of finite order not all vanishing identically and f1 and f2 are two linearly independent solutions of the linear differential equation f′′+A(z)f=0.

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