On the fourth and fifth coefficients in the Carathéodory class

DOI10.2298/FIL2006061CzbMath1499.30071OpenAlexW3128517869MaRDI QIDQ5865280

Adam Lecko, Barbara Śmiarowska, Bogumiła Kowalczyk, Nak Eun Cho

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2006061c

zbMATH Keywords

Fekete-Szegö problemHankel determinantunivalent functionsCarathéodory classZalcman functionalfourth coefficientfifth coefficient

Mathematics Subject Classification ID

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

Cites Work

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• Generalized Zalcman conjecture for some classes of analytic functions
• Fekete-Szegő problem for a certain subclass of close-to-convex functions
• On the fourth coefficient of functions in the Carathéodory class
• The bounds of some determinants for starlike functions of order alpha
• 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
• SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS

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