Growth of solutions of higher order linear differential equations with solutions of another equation as coefficients


M. Chetti, K. Hamani




In this paper, we study the growth of higher order linear differential equations, where some coefficients are non-trivial solutions of certain second order linear 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 an entire function is used.