The sharp bound of the third Hankel determinant for starlike functions

DOI10.1515/forum-2021-0308zbMath1502.30052OpenAlexW4288685816MaRDI QIDQ2171913

Adam Lecko, Bogumiła Kowalczyk, Derek K. Thomas

Publication date: 12 September 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2021-0308

zbMATH Keywords

Hankel determinantcoefficient estimatesstar-like functions

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 (8)

Sharp bounds of Hankel determinant for the inverse functions on a subclass of bounded turning functions ⋮ Sharp bounds on the Hankel determinant of the inverse functions for certain analytic functions ⋮ The sharp bound of the third Hankel determinant for Convex functions of order -1/2 ⋮ An evolutionary approach to the coefficient problems in the class of starlike functions ⋮ On a coefficient inequality for Carathéodory functions ⋮ Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions ⋮ Sharp coefficients bounds for starlike functions associated with Gregory coefficients ⋮ Unnamed Item

Cites Work

• Third Hankel determinants for subclasses of univalent functions
• On the fourth coefficient of functions in the Carathéodory class
• The bounds of some determinants for starlike functions of order alpha
• Third Hankel determinant for univalent starlike functions
• The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2
• The bound of the Hankel determinant of the third kind for starlike functions
• Hankel determinants and Bernoulli numbers
• Early Coefficients of the Inverse of a Regular Convex Function
• Coefficient Bounds for the Inverse of a Function with Derivative in P
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• Some properties of the class \(\mathcal{U}\)
• Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha
• On the Coefficients and Hankel Determinants of Univalent Functions
• On the Second Hankel Determinant of Mean Univalent Functions
• On the Hankel determinants of univalent functions
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