Finite Blaschke products and the golden ratio

Abstract

Geometric properties of …nite Blaschke products have been intensively studied by many di¤erent aspects. In this paper, our aim is to study geometric properties of …nite Blaschke products related to the golden ratio2 . Mainly, we focus on the relationships between the zeros of canonical …nite Blaschke products of lower degree and the golden ratio. We show that the geometric notions such as "golden triangle, "golden ellipse" and "golden rectangle" are closely related to the geometry of …nite Blaschke products.2020 Mathematics Subject Classi…cation. Primary 30J10; 11B39. Keywords and phrases. Finite Blaschke product, golden ratio, golden triangle, golden ellipse, golden