On the oscillation of solutions of certain linear differential equations in the complex domain

Abstract

Our starting point is the differential equationwhere A(z) is a transcendental entire function of finite order, and we are concerned specifically with the frequency of zeros of a non-trivial solution f(z) of (1.1). Of course it is well known that such a solution f(z) is an entire function of infinite order, and using standard notation from [7],for all , b∈C\{0}, at least outside a set of r of finite measure.