On concave univalent functions

DOI10.1080/17476930601063693zbMath1125.30006OpenAlexW2007736039MaRDI QIDQ5899464

Lorena Cruz, Christian Pommerenke

Publication date: 19 June 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930601063693

zbMATH Keywords

Concave univalent functionLower orderRange of valuesTwo-variable inequality

Mathematics Subject Classification ID

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

Related Items (16)

On the lower spherical order for locally univalent meromorphic functions ⋮ Coefficient estimates for bi-concave functions ⋮ Level sets of the hyperbolic derivative for analytic self-maps of the unit disk ⋮ Unnamed Item ⋮ Region of variability for concave univalent functions ⋮ Concave univalent functions and Dirichlet finite integral ⋮ Bohr phenomenon for subordinating families of certain univalent functions ⋮ The pre-Schwarzian norm estimate for analytic concave functions ⋮ On an extreme point conjecture for concave functions ⋮ On the Fekete-Szegö problem for concave univalent functions ⋮ Characterization and the pre-Schwarzian norm estimate for concave univalent functions ⋮ On concave univalent functions ⋮ Lower and upper order of harmonic mappings ⋮ Unnamed Item ⋮ On stable harmonic mappings ⋮ Bohr-Rogosinski type inequalities for concave univalent functions

Cites Work

• Sharp inequalities for the coefficients of concave schlicht functions
• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• The conformal radius as a function and its gradient image
• Concave schlicht functions with bounded opening angle at infinity
• Linear-invariante Familien analytischer Funktionen. I
• Convex Holes Produce Lower Bounds for Coefficients

This page was built for publication: On concave univalent functions