Sonlu Blaschke Çarpımları ve Altın Oran

Year 2021, Volume: 70 Issue: 2, 664 - 677, 31.12.2021

Nihal Özgür , Sumeyra Ucar

https://doi.org/10.31801/cfsuasmas.820518

Abstract

Keywords

Sonlu Blaschke Çarpımı, altın oran, altın üçgen, altın elips, altın dikdörtgen

Finite Blaschke products and the golden ratio

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 $\alpha =\frac{1+\sqrt{5}}{2}$. 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.

Keywords

Finite Blaschke product, golden ratio, golden triangle, golden ellipse, golden rectangle

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