Sharp estimates for functions with a pole and logarithmic singularity

DOI10.3103/S1066369X11120097zbMath1260.30005MaRDI QIDQ1759214

Farit G. Avkhadiev

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schwarzian derivativeconformal mappingslogarithmic singularitycoefficient estimates

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of conformal mappings (30C35) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• Sharp inequalities for the coefficients of concave schlicht functions
• Domains of variability of Laurent coefficients and the convex hull for the family of concave univalent functions
• Convex Holes Produce Lower Bounds for Coefficients
• On Meromorphic Schlicht Functions
• On Starlike and Convex Functions
• A proof of the Livingston conjecture
• On the coefficients of concave univalent functions

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