Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 16, pp. 1-14.

Title: Growth and oscillation of differential polynomials generated by
       complex differential equations
        
Authors: Zinelaabidine Latreuch (Univ. of Mostaganem, Mostaganem, Algeria)
         Benharrat Belaidi      (Univ. of Mostaganem, Mostaganem, Algeria)
        
Abstract:
 The main purpose of this article is to study the controllability
 of solutions to the linear differential equation
 $$
 f^{(k)}+A(z) f=0\quad (k\geqslant 2) .
 $$
 We study the growth and oscillation of higher-order differential
 polynomials with meromorphic coefficients generated by solutions
 of the above differential equation.

Submitted July 27, 2012. Published January 21, 2013.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equations; finite order;
           hyper-order; sequence of zeros; exponent of convergence;
           hyper-exponent of convergence