A conjecture on \(H_3(1)\) for certain starlike functions

DOI10.1515/MS-2023-0088zbMath1527.30016arXiv2208.02975MaRDI QIDQ6088273

S. Sivaprasad Kumar, Neha Verma

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2208.02975

zbMATH Keywords

Hankel determinantstarlikecoefficient

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)

Cites Work

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• Third Hankel determinants for subclasses of univalent functions
• On the fourth coefficient of functions in the Carathéodory class
• The sharp bounds of the second and third Hankel determinants for the class \(\mathcal{SL}^*\)
• The sharp bound of the third Hankel determinant for functions of bounded turning
• 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
• A cardioid domain and starlike functions
• 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
• On the Coefficients and Hankel Determinants of Univalent Functions
• On the Second Hankel Determinant of Mean Univalent Functions

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