Localization of the coefficient theorem

DOI10.2996/kmj/1138044092zbMath1041.30005OpenAlexW2036655140MaRDI QIDQ1975397

Shinji Yamashita

Publication date: 1999

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

Full work available at URL: https://semanticscholar.org/paper/98e242766e10f007d66d31c6b4f1af91bbcbdc9d

zbMATH Keywords

Poincaré densityBieberbach conjecture

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items

Estimates for derivatives of holomorphic functions in a hyperbolic domain ⋮ Estimates of the derivatives of meromorphic maps from convex domains into concave domains

Cites Work

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• New explicit formulas for the \(n\)th derivative of composite functions
• Derivatives of univalent functions and the hyperbolic metric