GROWTH AND OSCILLATION THEORY OF SOLUTIONS OF SOME LINEAR DIFFERENTIAL EQUATIONS

Abstract. The basic idea of this paper is to consider fixed points of solutions of the differential equation f (k) + A (z) f = 0, k ≥ 2, where A (z) is a transcendental meromorphic function with ρ (A) = ρ> 0. Instead of looking at the zeros of f (z) − z, we proceed to a slight generalization by considering zeros of f (z) − ϕ (z), where ϕ is a meromorphic function of finite order, while the solution of respective differential equation is of infinite order. 1. Introduction an