Geometric properties of solutions of a class of ordinary linear differential equations

The main object of this paper is to investigate several geometric properties of the solutions of the following second-order linear differential equation:w″(z)+p(z)w(z)=0,where the function p(z) is analytic in the open unit disk U. Relevant connections of the results presented in this paper with those given earlier by, for example, Robertson, Miller and Saitoh are also considered.