Necessary and sufficient conditions for univalent functions

DOI10.1080/17476933.2011.599116zbMath1269.30010OpenAlexW1539259500MaRDI QIDQ5300207

Obradović, Milutin, Saminathan Ponnusamy, Rosihan Mohamed Ali

Publication date: 26 June 2013

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

Full work available at URL: https://doi.org/10.1080/17476933.2011.599116

zbMATH Keywords

zeta functionanalyticcoefficient inequalityHadamard convolutionunivalent and starlike 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) Conformal mappings of special domains (30C20) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (2)

Approximation of certain non-vanishing analytic functions in a parabolic region ⋮ The \(\mathcal{U}\)-radius for classes of analytic functions

Cites Work

• A class of univalent functions defined by a differential inequality
• New criteria and distortion theorems for univalent functions
• A class of locally univalent functions defined by a differential inequality§

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