A generalization of Livingston's coefficient inequalities for functions with positive real part

DOI10.1016/j.jmaa.2015.10.050zbMath1336.30011arXiv1506.07111OpenAlexW1805821616MaRDI QIDQ892330

Iason Efraimidis

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07111

zbMATH Keywords

coefficient inequalitiesanalytic functions with positive real part

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 (12)

Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\) ⋮ Unnamed Item ⋮ On coefficient problems for functions starlike with respect to symmetric points ⋮ Inequalities for the coefficients of Schwarz functions ⋮ On the second Hankel determinant of logarithmic coefficients for certain univalent functions ⋮ Hankel and Toeplitz determinants for a subclass of analytic functions ⋮ On a coefficient inequality for Carathéodory functions ⋮ TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS ⋮ Initial logarithmic coefficients for functions starlike with respect to symmetric points ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ Hankel, Toeplitz, and Hermitian-Toeplitz determinants for certain close-to-convex functions ⋮ Bounds on coefficients and third Hankel determinant for a class of analytic functions related with certain conic domain

Cites Work

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• On the Zalcman conjecture for starlike and typically real functions
• A coefficient inequality for functions of positive real part with an application to multivalent functions
• Generalized Zalcman conjecture for starlike and typically real functions
• On normal and automorphic functions
• A Simple Proof of Livingston's Inequality for Caratheodory Functions
• Early Coefficients of the Inverse of a Regular Convex Function
• A Coefficient Inequality for Certain Classes of Analytic Functions
• The Coefficients of Multivalent Close-to-Convex Functions

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