Nichtlineare Extremalprobleme für holomorphe Stieltjesintegrale

DOI10.1007/BF01214844zbMath0292.30013MaRDI QIDQ1211608

Stephan Ruscheweyh

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/172178

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (13)

The Gegenbauer polynomials and typically real functions ⋮ Continuous affine functionals on convex families of analytic functions ⋮ An Extremal Problem for Functions of Positive Real Part with Application to a Radius of Convexity Problem ⋮ Nonlinear extremal problems for analytic two-dimensional Riemann- Stieltjes integrals ⋮ Lemite de convexite d'une classe de Nevanlinna de fonctions analytiques ⋮ The Radii of Starlikeness and Convexity of Certain Nevanlinna Analytic Functions ⋮ A note on generating functions for Hausdorff moment sequences ⋮ The radius of starlikeness of meromorphic typically real functions ⋮ On Functions Whose Derivative has Positive Real Part ⋮ Convolution conditions for convexity starlikeness, and spiral-likeness ⋮ On the radius of convexity of order \(\alpha\) of the totally monotonic functions ⋮ Functions Whose Derivative has Positive Real Part ⋮ Functions whose Derivatives Take Values in a Half-Plane

Cites Work

• Linear combinations of convex mappings
• A local estimate for typically real functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Extremal Problems for the Typically Real Functions
• The Univalence of a Linear Combination of Convex Mappings
• The Coefficients of Starlike Functions
• On the Valence of the Sum of Two Convex Functions

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