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In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation f + Q e −z f + (A1e a 1 z + A2e a 2 z) n f = 0, where n 2 is an integer, Aj (z) (≡ 0) (j = 1, 2) are entire functions with max {σ (Aj) : j = 1, 2} < 1, Q (z) = qmz m + · · · + q1z + q0 is a nonconstant polynomial and a1, a2 are complex(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)