Correspondence between spirallike functions and starlike functions

DOI10.1002/mana.201010020zbMath1241.30005arXiv1003.1566OpenAlexW1969616129MaRDI QIDQ3118981

Toshiyuki Sugawa, Yong Chang Kim

Publication date: 6 March 2012

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

Full work available at URL: https://arxiv.org/abs/1003.1566

zbMATH Keywords

Hardy spacestarlike functionsspiral-like functionslogarithmic spiralspirallike functions

Mathematics Subject Classification ID

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

Related Items (8)

Regions of variability for a subclass of analytic functions ⋮ Unnamed Item ⋮ Harmonic spirallike functions and harmonic strongly starlike functions ⋮ Radii problems for starlike functions and semigroup generators ⋮ Successive coefficients for functions in the spirallike family ⋮ Quasiconformal extension of strongly spirallike functions ⋮ Boundedness, univalence and quasiconformal extension of Robertson functions ⋮ Angular and unrestricted limits of one-parameter semigroups in the unit disk

Cites Work

• The Hardy class of a spiral-like function
• On Starlike and Convex Functions
• A Remark on Convex and Starlike Functions
• Hull Subordination and Extremal Problems for Starlike and Spirallike Mappings
• Starlike Univalent Functions
• The Hardy Class of a Spiral-Like Function and its Derivative
• ON A SUBCLASS OF SPIRAL-LIKE FUNCTIONS
• On Starlike and Close-to-Convex Functions
• The Rotation Theorem for Starlike Univalent Functions

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