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- Benharrat Belaïdi
- J. Systems Science & Complexity
- 2007

- KARIMA HAMANI, BENHARRAT BELAÏDI
- 2011

Abstract. In this paper, we investigate the growth of solutions of higher order homogeneous linear differential equations with entire coefficients. We improve and extend the results of Beläıdi and Hamouda by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the Wiman-Valiron theory. We also… (More)

In this paper, we investigate the relationship between small functions and differential polynomials g f (z) = d 2 f + d 1 f + d 0 f , where d 0 (z) , d 1 (z) , d 2 (z) are meromorphic functions that are not all equal to zero with finite order generated by solutions of the second order linear differential equation f + Af + Bf = F, where A, B, F ≡ 0 are… (More)

- Karima HAMANI, Benharrat BELAÏDI, K. Hamani
- 2011

In the present paper, we investigate the iterated order of solutions of higher order homogeneous linear differential equations with entire coefficients. We improve and extend some results of Bela¨ıdi and Hamouda by using the concept of the iterated order. We also consider the non-homogeneous linear differential equations. 1.Introduction and main results In… (More)

- B. BELAÏDI
- 2008

In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f (k) + A(z)f = 0, k ≥ 2, where A(z) is a transcendental meromorphic function with ρp(A) = ρ > 0 and meromorphic functions of finite iterated p−order.

In this article, we give sufficiently conditions for the solutions and the differential polynomials generated by second-order differential equations to have the same properties of growth and oscillation. Also answer to the question posed by Cao [6] for the second-order linear differential equations in the unit disc.

In this paper, we investigate the growth of solutions of higher order linear differential equations with analytic coefficients in the unit disc ∆ = {z ∈ C : |z| < 1}. We obtain four results which are similar to those in the complex plane.

In this paper, we investigate the order and the hyper order of entire solutions of the higher order linear differential equation f (k) +A k−1 (z) e P k−1 (z) f (k−1) +...+A1 (z) e P 1 (z) f +A0 (z) e P 0 (z) f = 0 (k ≥ 2) , where Pj (z) (j = 0, ..., k − 1) are nonconstant polynomials such that deg Pj = n (j = 0, ..., k − 1) and Aj (z) (≡ 0) (j = 0, ..., k −… (More)

In this paper, we investigate the order and the hyper-order of solutions of the linear differential equation

- Zinelaâbidine Latreuch, Benharrat Belaïdi, Abdallah El Farissi
- Periodica Mathematica Hungarica
- 2013