Finite Blaschke products and the golden ratio

Authors : Nihal ÖZGÜR, Sumeyra UCAR

Pages : 664-677

Doi:10.31801/cfsuasmas.820518

View : 10 | Download : 12

Publication Date : 2021-12-31

Article Type : Research Paper

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