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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

Sonlu Blaschke Çarpımları ve Altın Oran

Finite Blaschke products and the golden ratio

Nihal Özgür(BALIKESIR UNIVERSITY)0000-0002-8152-1830
Sumeyra Ucar(BALIKESIR UNIVERSITY)0000-0002-6628-526X
Sayfa
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Yayın Tarihi
2021-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Geometric properties of finite Blaschke products have been intensively studied by many different aspects.
📊
Temel Bulgular & Veri:In this paper, our aim is to study geometric properties of finite Blaschke products related to the golden ratio $\alpha =\frac{1+\sqrt{5}}{2}$.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Finite Blaschke product · golden ratio · golden triangle

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.

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Bu Makaleye Atıf Yap

Özgür, N., Ucar, S. (2021). Sonlu Blaschke Çarpımları ve Altın Oran. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.820518

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