Finite Blaschke products and the golden ratio
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Date
2021
Authors
Journal Title
Journal ISSN
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Publisher
Ankara Üniversitesi
Abstract
Geometric properties of finite Blaschke products have been intensively studied by many different aspects. In this paper, our aim is to study geometric properties of finite Blaschke products related to the golden ratio
α
=
1
+
√
5
2
. Mainly, we focus on the relationships between the zeros of canonical finite 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 finite Blaschke products.
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Keywords
Finite Blaschke product, golden ratio, golden triangle, golden ellipse, golden rectangle