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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Extreme points for some classes of univalent functions


Authors: W. Hengartner and G. Schober
Journal: Trans. Amer. Math. Soc. 185 (1973), 265-270
MSC: Primary 30A36
DOI: https://doi.org/10.1090/S0002-9947-1973-0335779-9
MathSciNet review: 0335779
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Abstract: Monotonicity properties are given for extreme points in classes of normalized analytic and univalent mappings of an arbitrary domain. For the familiar class of normalized univalent mappings of the unit disk, extreme points f are shown to have the remarkable property that $ f/z$ is univalent.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0335779-9
Keywords: Univalent functions, extreme points
Article copyright: © Copyright 1973 American Mathematical Society

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