On The Zeros Of Solutions Of Second-Order Linear Differential Equations

Abstract

Introduction. In §1 of this paper we consider the complex differential equation1, |z| < 1,where q(z) is a regular function in the open unit circle. We shall give a lower bound for the non-Euclidean distance of any pair of zeros of any non-trivial (i.e., not identically zero) solution u(z) of (1).