Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as Coefficients

We study the growth of solutions of \(f''+A(z)f'+B(z)f=0\), where A(z) and B(z) are non-trivial solutions of another second-order complex differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of entire functions is used.