Partial sums and the radius problem for some class of conformal mappings

DOI10.1134/S0037446611020121zbMath1218.30044MaRDI QIDQ546219

Saminathan Ponnusamy, Obradović, Milutin

Publication date: 24 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

partial sumsstarlike functionsradius of univalencecoefficient inequality

Mathematics Subject Classification ID

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

Related Items (6)

On De la Vallée Poussin means for harmonic mappings ⋮ Injectivity of sections of univalent harmonic mappings ⋮ On the growth of analytic functions in the class \({\mathcal {U}}(\lambda)\) ⋮ Starlikeness of sections of univalent functions ⋮ On relations between the classes \(\mathcal {S}\) and \(\mathcal {U}\) ⋮ Radius of convexity of partial sums of odd functions in the close-to-convex family

Cites Work

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• On the starlikeness and convexity of a class of analytic functions
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• The partial sums of multivalently starlike functions
• New criteria and distortion theorems for univalent functions
• Criteria for the Extremality of the Koebe Mapping
• A class of locally univalent functions defined by a differential inequality§
• Odd Starlike Functions
• One Criterion for Univalency
• A Note on the Partial Sums of Convex Schlicht Functions
• On the Radius of Univalence of the Partial Sums of Convex Functions
• On an Inequality of Golusin
• Two theorems on schlicht functions

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