Electron. J. Diff. Equ., Vol. 2013 (2013), No. 16, pp. 1-14.

Growth and oscillation of differential polynomials generated by complex differential equations

Zinelaabidine Latreuch, Benharrat Belaidi

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

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Zinelaâbidine Latreuch
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem (UMAB)
B. P. 227 Mostaganem, Algeria
email: z.latreuch@gmail.com
Benharrat Belaïdi Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem (UMAB)
B. P. 227 Mostaganem, Algeria
email: belaidi@univ-mosta.dz

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