Estimates for derivatives of holomorphic functions in a hyperbolic domain

DOI10.1016/j.jmaa.2006.06.090zbMath1109.30037OpenAlexW2006511173MaRDI QIDQ868806

Jian-Lin Li

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.090

zbMATH Keywords

convex functionunivalent functionradius of convexityhyperbolic domainpoincare density

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (1)

Generalization of theorems of Szász and Ruscheweyh on exact bounds for derivatives of analytic functions

Cites Work

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• A proof of the Bieberbach conjecture
• Inverse coefficients for functions of bounded boundary rotation
• Schwarz-Pick inequalities for hyperbolic domains in the extended plane
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Derivatives of univalent functions and the hyperbolic metric
• Localization of the coefficient theorem
• Higher derivatives of holomorphic function with positive real part
• Punishing factors for finitely connected domains
• Coefficient bounds for inverses of odd univalent functions
• Early Coefficients of the Inverse of a Regular Convex Function
• Inequalities for Some Coefficients of Univalent Functions
• Coefficient Estimates for Univalent Functions

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