On univalent functions in the unit disk whose image contains a given disk

DOI10.1007/BF02795507zbMath0222.30014WikidataQ105856915 ScholiaQ105856915MaRDI QIDQ2547633

E. Netanyahu

Publication date: 1970

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

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) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (12)

In memoriam Elisha Netanyahu, 1912-1986 ⋮ On the logarithmic gradient of Poincaré metric ⋮ Koebe Domains for Certain Families ⋮ Integral means of univalent functions with restricted Hayman index ⋮ Bounded univalent functions which cover a fixed disc ⋮ Meromorphic univalent functions whose ranges contain a fixed disk ⋮ The derivative of a holomorphic function and estimates of the Poincaré density ⋮ Integral means, univalent functions and circular symmetrization ⋮ Coefficients of univalent functions ⋮ Lagrange multipliers in variational methods for univalent functions ⋮ On the monotonicity of some functionals in the family of univalent functions ⋮ On Bounded Univalent Functions Whose Ranges Contain a Fixed Disk

Cites Work

• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• The theory of the second variation in extremum problems for univalent functions
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