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 ...

In this paper, we study the complex oscillation of solutions and their derivatives of the differential equation f 00 + A (z) f 0 + B (z) f = F (z) , where A (z) , B (z) (6≡ 0) and F (z) (6≡ 0) are meromorphic functions ...

In this article, we discuss the growth of solutions of the second-order nonhomogeneous linear differential equation f + A1(z)eazf + A0(z)ebzf = F, where a, b are complex constants and Aj (z) ≡ 0 (j = 0, 1), and F ≡ 0 are ...

In this paper, we investigate the growth of solutions of the linear differential equation f (k) + Ak−1(z)e Pk−1(z) + Bk−1 (z) f (k−1) + · · · + A1(z)e P1(z) + B1 (z) f ′ + A0(z)e P0(z) + B0 (z) ...

In this paper, we will give sufficient conditions to obtain new estimates about the order of growth and the type of meromorphic functions in the complex plane. We give also some examples to explain the sharpness of ...

In this paper, we investigate the iterated order of entire solutions of homogeneous and non-homogeneous linear differential equations with entire coefficients.

We consider a differential equation f (n)+ A n− 1 (z) f (n− 1)+…+ A 1 (z) f'+ A 0 (z) f= 0, where A 0 (z),..., A n− 1 (z) are entire functions with A 0 (z){¬≡} 0. Suppose that there exist a positive number μ, and a sequence ...

In this paper, we study the growth of analytic solutions of homogeneous linear differential equations in which the coefficients are analytic functions of [p, q]− order in the unit disc.

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 ...

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) 6≡ 0 is an analytic function with finite iterated porder and ...