Hankel determinants of second and third order for the class \(\mathcal{S}\) of univalent functions

DOI10.1515/MS-2021-0010zbMath1482.30048arXiv1912.06439OpenAlexW3174326033MaRDI QIDQ2054657

Nikola Tuneski, Obradović, Milutin

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06439

zbMATH Keywords

Hankel determinantscoefficient estimatesunivalent functions in the unit disc

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (7)

Hermitian-Toeplitz determinants for certain classes of close-to-convex functions ⋮ Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions ⋮ Some sharp results on coefficient estimate problems for four-leaf-type bounded turning functions ⋮ Sharp bounds on the Hankel determinant of the inverse functions for certain analytic functions ⋮ A Study of Sharp Coefficient Bounds for a New Subfamily of Starlike Functions ⋮ A study of sharp coefficient bounds for a new subfamily of starlike functions ⋮ Hermitian Toeplitz determinants for the class S of univalent functions

Cites Work

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• Geometric studies on the class \(\mathcal U(\lambda)\)
• An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function
• New criteria and distortion theorems for univalent functions
• Some properties of the class \(\mathcal{U}\)

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