The Alexander transform of a spirallike function

DOI10.1016/j.jmaa.2006.01.077zbMath1107.30012OpenAlexW2016722868MaRDI QIDQ854077

Yong Chang Kim, Toshiyuki Sugawa

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/files/public/1/17094/20141016130306668319/JMathAnalAppl_325_608.pdf

zbMATH Keywords

integral transformunivalent functionspirallike function

Mathematics Subject Classification ID

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

Related Items (8)

On certain families of analytic functions in the Hornich space ⋮ Some subordination properties for spirallike functions ⋮ An extension of Briot–Bouquet differential subordinations with an application to Alexander integral transforms ⋮ Differential inequalities for spirallike and strongly starlike functions ⋮ A new class of meromorphic functions associated with spirallike functions ⋮ Boundedness, univalence and quasiconformal extension of Robertson functions ⋮ Preserving properties and pre-Schwarzian norms of nonlinear integral transforms ⋮ On power deformations of univalent functions

Cites Work

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• Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives
• Norm estimates for function starlike or convex of order alpha
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• Univalent functions \(f(z)\) for which \(zf'(z)\) is spirallike
• Sufficient conditions for univalence of certain integral transforms
• [https://portal.mardi4nfdi.de/wiki/Publication:5657011 Regular Functions f(z) for which zf � (z) is α-Spiral]
• Coefficient Estimates for Univalent Functions

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