On Certain Convex Sets in the Space of Locally Schlicht Functions

DOI10.2307/1997024zbMath0263.30015OpenAlexW4250574715MaRDI QIDQ5679098

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Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1997024

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (15)

On an integral operator for convex univalent functions ⋮ On certain families of analytic functions in the Hornich space ⋮ Zeros of complex polynomials and Kaplan classes ⋮ Complete membership to Kaplan classes of a certain class of functions ⋮ Starlike functions in the Hornich space ⋮ On the univalence of functions defined by certain integral transforms ⋮ Kaplan classes of a certain family of functions ⋮ Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives ⋮ Banach spaces of locally schlicht functions with the Hornich operations ⋮ On a ratio of a univalent function ⋮ Radius of convexity for integral operators involving Hornich operations ⋮ Close-to-convex functions and their extreme points in Hornich space ⋮ Hornich operations on functions of bounded boundary rotations and order \(\alpha\) ⋮ On the properties of an integral operator ⋮ Classes of univalent integral operators

Cites Work

• The close-to-convexity and univalence of an integral
• Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen
• A Banach space of locally univalent functions
• Close-to-convex schlicht functions
• On the Univalence of a Certain Integral
• On the Univalence of a Certain Integral
• On the univalence of a certain integral

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