Families of Real and Symmetric Analytic Functions

DOI10.2307/1998643zbMath0461.30027OpenAlexW4238912298MaRDI QIDQ3910734

Yusuf Abu Muhanna, Thomas H. MacGregor

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998643

zbMATH Keywords

subordinationextreme pointsharmonic measurecoefficient estimatesPoisson representationtypically-real functionfunction with positive real partradial limit functionk-fold symmetric function

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)

Cites Work

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• Convex hulls and extreme points of families of starlike and close-to- convex mappings
• Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen
• The coefficients of schlicht functions
• On the Extreme Points of Some Sets of Analytic Functions
• Convex Hulls of Some Classical Families of Univalent Functions
• On the coefficients of a typically-real function

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