On the coefficients of concave univalent functions

DOI10.1002/mana.200310177zbMath1149.30013OpenAlexW2045252350MaRDI QIDQ4812387

Christian Pommerenke, Karl-Joachim Wirths, Farit G. Avkhadiev

Publication date: 20 August 2004

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310177

zbMATH Keywords

convex functionscoefficient inequalitiesSchlicht functions

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) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (15)

Subordination under concave univalent functions ⋮ Coefficient inequalities for a new class of univalent functions ⋮ Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions ⋮ On some results of A. E. Livingston and coefficient problems for concave univalent functions ⋮ Analytic functions with polar and logarithmic singularities and locally convex boundary values ⋮ Concave univalent functions and Dirichlet finite integral ⋮ Inequalities for the coefficients of meromorphic starlike functions with nonzero pole ⋮ Estimates of the derivatives of meromorphic maps from convex domains into concave domains ⋮ Sharp estimates for functions with a pole and logarithmic singularity ⋮ On harmonic univalent mappings with nonzero pole ⋮ The conformal radius as a function and its gradient image ⋮ On concave univalent functions ⋮ On the coefficients of certain subclasses of harmonic univalent mappings with nonzero pole ⋮ A proof of the Livingston conjecture ⋮ Bohr-Rogosinski type inequalities for concave univalent functions

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