Sharp bounds for sums of coefficients of inverses of convex functions

DOI10.1007/BF03321634zbMath1147.30013OpenAlexW2033811496MaRDI QIDQ2467663

Karl-Joachim Wirths, Farit G. Avkhadiev

Publication date: 28 January 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321634

zbMATH Keywords

bounded functionsTaylor coefficients

Mathematics Subject Classification ID

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

Related Items (2)

The punishing factors for convex pairs are \(2^{n-1}\) ⋮ Estimates of the derivatives of meromorphic maps from convex domains into concave domains

Cites Work

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• Inverse coefficients for functions of bounded boundary rotation
• Inverse coefficients for convex univalent functions
• Schwarz-Pick inequalities for derivatives of arbitrary order
• Punishing factors for angles
• Early Coefficients of the Inverse of a Regular Convex Function

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