Finite Blaschke products and the golden ratio

dc.authorid0000-0002-8152-1830en_US
dc.authorid0000-0002-6628-526Xen_US
dc.contributor.authorÖzgür, Nihal
dc.contributor.authorUçar, Sümeyra
dc.date.accessioned2023-01-03T08:35:04Z
dc.date.available2023-01-03T08:35:04Z
dc.date.issued2021en_US
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractGeometric 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=frac1+sqrt52. 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.en_US
dc.identifier.doi10.31801/cfsuasmas.820518
dc.identifier.endpage677en_US
dc.identifier.issn1303-5991
dc.identifier.issn2618-6470
dc.identifier.issue2en_US
dc.identifier.startpage664en_US
dc.identifier.trdizinid498977
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.820518
dc.identifier.urihttps://hdl.handle.net/20.500.12462/12771
dc.identifier.volume70en_US
dc.identifier.wosWOS:000851379300005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakTR-Dizin
dc.language.isoenen_US
dc.publisherAnkara Üniv. Fen Fakültesien_US
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara Series A1: Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite Blaschke Producten_US
dc.subjectGolden Ratioen_US
dc.subjectGolden Triangleen_US
dc.subjectGolden Ellipseen_US
dc.subjectGolden Rectangleen_US
dc.titleFinite Blaschke products and the golden ratioen_US
dc.typeArticleen_US

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