Third Hankel determinants for two classes of analytic functions with real coefficients

DOI10.1515/FORUM-2021-0014zbMath1486.30051OpenAlexW3175791685MaRDI QIDQ2121258

Paweł Zaprawa, Young Jae Sim

Publication date: 4 April 2022

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

Full work available at URL: https://doi.org/10.1515/forum-2021-0014

zbMATH Keywords

coefficient estimatesanalytic functions with real coefficients. third Hankel determinant

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 (3)

The sharp bound of the third Hankel determinant for starlike functions of order 1/2 ⋮ Coefficient bound associated with certain Hankel determinants and Zalcman conjecture for a subfamily of multivalent bounded turning functions ⋮ Some sharp bounds of the third-order Hankel determinant for the inverses of the Ozaki type close-to-convex functions

Cites Work

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• On the fourth coefficient of functions in the Carathéodory class
• Second Hankel determinants for the class of typically real 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
• Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
• Third Hankel determinant for certain subclass ofp–valent functions
• THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• Some properties of the class \(\mathcal{U}\)

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