Geometric properties of nonlinear integral transforms of certain analytic functions

DOI10.3792/pjaa.80.57zbMath1063.30009OpenAlexW2079030626MaRDI QIDQ1764327

Toshiyuki Sugawa, Saminathan Ponnusamy, Yong Chang Kim

Publication date: 24 February 2005

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442244

zbMATH Keywords

integral transformunivalent functionspre-Schwarzian derivatives

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (6)

On a class of univalent functions defined by a differential inequality ⋮ Unnamed Item ⋮ Preserving properties and pre-Schwarzian norms of nonlinear integral transforms ⋮ Norm estimates for convolution transforms of certain classes of analytic functions ⋮ Norm estimates for the Alexander transforms of convex functions of order alpha ⋮ Radius of convexity for integral operators involving Hornich operations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
• Convolution and quasiconformal extension
• Almost locally univalent functions
• Norm estimates for function starlike or convex of order alpha
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen
• New criteria and distortion theorems for univalent functions
• Schlichtheitskriterien und Jordangebiete.
• Sufficient conditions for univalence of certain integral transforms
• NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS
• On the Univalence of a Certain Integral
• The Schwarzian Derivative and Univalent Functions
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.

This page was built for publication: Geometric properties of nonlinear integral transforms of certain analytic functions