On the Faber coefficients of functions univalent in an ellipse

DOI10.1090/S0002-9947-97-01721-2zbMath0872.30007OpenAlexW1487716948MaRDI QIDQ4337963

Engin Haliloglu

Publication date: 27 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01721-2

zbMATH Keywords

Chebyshev polynomialsFaber polynomialsFaber coefficientsJacobi elliptic sine function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Generalizastions of coefficients estimates for certain classes of analytic functions ⋮ On the Faber coefficients of functions univalent in an ellipse ⋮ Bounds for the Faber coefficients of certain classes of functions analytic in an ellipse

Cites Work

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• A proof of the Bieberbach conjecture
• Univalent functions. Selected topics
• Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen
• Elliptic functions and applications
• On the Faber coefficients of functions univalent in an ellipse
• Convex Hulls of Some Classical Families of Univalent Functions

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