The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc

We consider the complex differential equations of the formAk(z)f(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=F(z),Ak(z)f(k)+Ak−1(z)f(k−1)+⋯+A1(z)f′+A0(z)f=F(z), where A0A0 (≢0), A1,…,AkA1,…,Ak and F   are analytic functions in the unit disc D={z∈C:|z|<1}D={z∈C:|z|<1}. Some results on the finite iterated order and the finite iterated convergence exponent of zero points in D of meromorphic (analytic) solutions are obtained. The fixed points of solutions of differential equations are also investigated in this paper.