The frequency of the zeros of some differential polynomials

Abstract

Let p(f) and p(f) denote respectively the iterated p-order and the iterated p-type of an entire function f. In this paper, we study the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation f′′ + A1(z)f′ + A0(z)f = 0, where A1(z), A0(z) are entire functions of finite iterated p-order such that p(A1) = p(A0) = (0 < < +1) and p(A1) < p(A0) = (0 < < +1).