On extreme Bloch functions with prescribed critical points

DOI10.1007/BF01215002zbMath0482.30023OpenAlexW2006383556MaRDI QIDQ1162625

Karl-Joachim Wirths, Stephan Ruscheweyh

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173174

zbMATH Keywords

shapecritical pointsBloch functionsaccumulation point

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Compact Riemann surfaces and uniformization (30F10) Normal functions of one complex variable, normal families (30D45)

Related Items (11)

Width of the Gakhov class over the Dirichlet space is equal to 2 ⋮ Conformal radius: at the interface of traditions ⋮ Local maxima of the spherical derivative ⋮ Meromorphization of M. I. Kinder's formula via the change of contours ⋮ Bifurcations and new uniqueness criteria for critical points of hyperbolic derivatives ⋮ Coefficients problems for Bloch functions ⋮ On the sum of squares of the coefficients of Bloch functions ⋮ Local minima of the Gauss curvature of a minimal surface ⋮ Avkhadiev-Lehto type constants in the study of the Gakhov class ⋮ Extreme points and support points of families of harmonic Bloch mappings ⋮ Truncating hyperbolic densities

Cites Work

• Domains on which analytic functions satisfy quadrature identities
• Über holomorphe Funktionen, die einer Wachstumsbeschränkung unterliegen
• Extreme points of the unit ball of the Bloch space \(B_0\)
• On Holomorphic Functions Satisfying | f(z) | (1 - | z | 2 ) 1 in the Unit Disc
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