Extremal properties of some spirallike functions

DOI10.1007/BF00971837zbMath0445.30013MaRDI QIDQ1145247

G. M. Kesel'man

Publication date: 1980

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

zbMATH Keywords

univalent functionsspirallike functionsvariational formulasBazilevich classregion of variability of functionals

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Subordination theorems for some classes of starlike functions
• On starlike and convex functions of order \(\alpha\)
• Coefficients for alpha-convex univalent functions
• ON A SUBCLASS OF SPIRAL-LIKE FUNCTIONS
• All α-Convex Functions are Univalent and Starlike
• Distortion Properties of Alpha-Starlike Functions

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