On hyperbolically convex functions

DOI10.1007/BF02921830zbMath0980.30015OpenAlexW1971175446MaRDI QIDQ1589321

Christian Pommerenke, Diego A. Mejía

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921830

zbMATH Keywords

Schwarzian derivativestarlike functionhyperbolically convex function

Mathematics Subject Classification ID

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

Related Items (9)

Three extremal problems for hyperbolically convex functions ⋮ Length and area estimates for (hyperbolically) convex conformal mappings ⋮ Level sets of the hyperbolic derivative for analytic self-maps of the unit disk ⋮ Horocyclically convex univalent functions ⋮ Hyperbolically convex functions and the generalized Fekete-Szegö functional ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators ⋮ A sharpened form of the inverse function theorem ⋮ A variational method for hyperbolically convex functions ⋮ Characterizations of hyperbolically convex regions

Cites Work

• The coefficient regions of starlike functions
• Hyperbolic geometry in k-convex regions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Hyperbolically convex functions
• Shorter Notes: A Coefficient Inequality for Convex Univalent Functions
• Geometrie der konformen Abbildung auf der hyperbolischen Ebene
• The Schwarzian derivative and schlicht functions
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