Mathematica Bohemica, Vol. 147, No. 2, pp. 211-220, 2022


Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning

Milutin Obradović, Nikola Tuneski, Paweł Zaprawa

Received May 5, 2020.   Published online July 7, 2021.

Abstract:  We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning.
Keywords:  analytic function; univalent function; Hankel determinant; upper bound; bounded turning
Classification MSC:  30C45, 30C50


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Affiliations:   Milutin Obradović, Department of Mathematics, Faculty of Civil Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000, Belgrade, Serbia, e-mail: obrad@grf.bg.ac.rs; Nikola Tuneski, Department of Mathematics and Informatics, Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000 Skopje, Republic of North Macedonia, e-mail: nikola.tuneski@mf.edu.mk; Paweł Zaprawa, Faculty of Mechanical Engineering, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland, e-mail: p.zaprawa@pollub.pl


 
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