Extreme points for some classes of univalent functions
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- by W. Hengartner and G. Schober PDF
- Trans. Amer. Math. Soc. 185 (1973), 265-270 Request permission
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.References
- Louis Brickman, Extreme points of the set of univalent functions, Bull. Amer. Math. Soc. 76 (1970), 372–374. MR 255788, DOI 10.1090/S0002-9904-1970-12483-1
- Walter Hengartner and Glenn Schober, On Schlicht mappings to domains convex in one direction, Comment. Math. Helv. 45 (1970), 303–314. MR 277703, DOI 10.1007/BF02567334 T. Radó, Sur la représentation conforme des domaines variables, Acta. Sci. Math. (Szeged) 1 (1923), 180-186.
Additional Information
- © Copyright 1973 American Mathematical Society
- 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