Duality for Hadamard Products With Applications to Extremal Problems for Functions Regular in the Unit Disc

DOI10.2307/1997122zbMath0311.30011OpenAlexW4249264868MaRDI QIDQ4068975

Stephan Ruscheweyh

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997122

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, other methods (30C75)

Related Items (25)

Radius of Starlikeness of Convex Combinations of Univalent Starlike Functions ⋮ An Extremal Problem for Functions of Positive Real Part with Application to a Radius of Convexity Problem ⋮ On extremal problems related to integral transforms of a class of analytic functions ⋮ Neighborhoods of analytic functions ⋮ Convolution multipliers and starlike functions ⋮ Classes of uniformly convex and uniformly starlike functions as dual sets ⋮ Some convexity and convolution theorems for analytic functions ⋮ Duality for convolution on subclasses of analytic functions and weighted integral operators ⋮ Semiduality of small sets of analytic functions ⋮ Starlikeness of integral transforms and duality ⋮ One more note on neighborhoods of univalent functions ⋮ Geometric properties of an integral operator ⋮ Unnamed Item ⋮ Some applications of Cartan's theorem to normality and semiduality of gap power series ⋮ On an integral transform of a class of analytic functions ⋮ Über Funktionen mit der Eigenschaft \(\text{Re}(e^{i\alpha }(f(z)/z-\beta))>0\). ⋮ On dual sets and neighborhood of new subclasses of analytic functions involving \(q\)-derivative ⋮ Convolution conditions for convexity starlikeness, and spiral-likeness ⋮ Starlike Functions of order $alpha$ With Respect To $2(j,k)$-Symmetric Conjugate Points ⋮ The Hadamard product and linear transformations of classes of analytic functions ⋮ Stability for the class of uniformly starlike functions with respect to symmetric points ⋮ Some new results on the semiduality of small sets of analytic functions ⋮ The order of starlikeness of the class of uniformly starlike functions ⋮ On the order of starlikeness of the class UST ⋮ Duality and integral transform of a class of analytic functions

Cites Work

• Unnamed Item
• Unnamed Item
• A note on close-to-convex functions
• Two-slit mappings and the Marx conjecture
• Über die Faltung schlichter Funktionen. (On the convolution of schlicht functions)
• Über die Faltung schlichter Funktionen. II. (On the convolution of schlicht functions. II)
• The Marx conjecture for starlike functions
• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Die linearen vollkommenen Räume der Funktionentheorie
• Functions Whose Derivative has a Positive Real Part
• Convex Hulls of Some Classical Families of Univalent Functions

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