FINITE BLASCHKE PRODUCTS AND CIRCLES THAT PASS THROUGH THE ORIGIN

Abstract

Let B (z) be a fi nite Blaschke product of degree n and C be the unit circle. It is well- known that for any given Blaschke product B (z) of degree n and any speci fi ed point lambda of C, there exist n distinct points of C that B (z) maps to lambda. In this paper, we discuss the determination of these points using circles passing through the origin.