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Rogosinski's lemma for univalent functions, hyperbolic Archimedean spirals and the Loewner equation

  • Published:2014-07-03 Issue:5 Volume:46 Page:1099-1109
  • ISSN:0024-6093
  • Container-title:Bulletin of the London Mathematical Society
  • language:en
  • Short-container-title:Bulletin of the London Mathematical Society

Author:

Roth Oliver,Schleißinger Sebastian

Publisher

Wiley

Subject

General Mathematics

Reference14 articles.

1. The hyperbolic metric and geometric function theory;Beardon,2007

2. Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary;Burns;J. Amer. Math. Soc.,1994

3. Geometry behind chordal Loewner chains;Contreras;Complex Anal. Oper. Theory,2010

4. On coefficient regions of univalent functions;Friedland;J. Anal. Math.,1977

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1. Some invariant differential operator properties for hyperbolic univalent convex functions;Journal of Interdisciplinary Mathematics;2022-06-29

2. Value range of solutions to the chordal Loewner equation with restriction on the driving function;Issues of Analysis;2019-06

3. Value Regions in Classes of Conformal Mappings;Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics;2019

4. Value regions of univalent self-maps with two boundary fixed points;Annales Academiae Scientiarum Fennicae Mathematica;2018-02

5. Three value ranges for symmetric self-mappings of the unit disc;Proceedings of the American Mathematical Society;2016-10-26
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