On relations between the classes \(\mathcal {S}\) and \(\mathcal {U}\)

DOI10.1007/S41478-016-0023-4zbMath1362.30017arXiv1604.07733OpenAlexW2962759953MaRDI QIDQ524746

Karl-Joachim Wirths, Saminathan Ponnusamy, Obradović, Milutin

Publication date: 3 May 2017

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

Full work available at URL: https://arxiv.org/abs/1604.07733

zbMATH Keywords

subordinationanalytic functionsunivalent functionsGrunsky inequalitiesKoebe transforms

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (5)

On a subclass of analytic functions satisfying a differential inequality ⋮ Normalized analytic functions with fixed second coefficient ⋮ On integral means for starlike and spiral-like functions ⋮ On classes of meromorphic locally univalent functions defined by differential inequalities ⋮ Coefficient problems on the class U(λ)

Cites Work

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• Geometric studies on the class \(\mathcal U(\lambda)\)
• Partial sums and the radius problem for some class of conformal mappings
• Second order differential inequalities in the complex plane
• On a class of schlicht functions
• Starlikeness and Certain Class of Rational Functions
• Radius properties for subclasses of univalent functions

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