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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 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)
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)