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Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations

Zinelâabidine LATREUCH; Benharrat BELAÏDI — 2015

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation $f^{(k)} + A_{k - 1} (z) f^{(k - 1)} + \dots + A_{1} (z) f^{'} + A_{0} (z) f = 0,$ where $A_{i} (z)$ $(i = 0, 1, \dots, k - 1)$ are meromorphic functions of finite order in the complex plane.

Zeros of Solutions and Their Derivatives of Higher Order Non-homogeneous Linear Differential Equations

Benharrat Belaidi; Zinelâabidine Latreuch — 2015

Communications in Mathematics

This paper is devoted to studying the growth and oscillation of solutions and their derivatives of higher order non-homogeneous linear differential equations with finite order meromorphic coefficients. Illustrative examples are also treated.

On open problems of F. Qi.

Belaidi, Benharrat; El Farissi, Abdallah; Latreuch, Zinelaâbidine — 2009

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Growth and oscillation of differential polynomials in the unit disc.

El Farissi, Abdallah; Belaidi, Benharrat; Latreuch, Zinelaabidine — 2010

Electronic Journal of Differential Equations (EJDE) [electronic only]

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