Extreme points of classes of functions defined by subordination
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- by D. J. Hallenbeck PDF
- Proc. Amer. Math. Soc. 46 (1974), 59-64 Request permission
Abstract:
The closed convex hull and extreme points of families of analytic functions, which are defined in terms of subordination, are determined. Integral representations are given for the hulls of these families in terms of probability measures on suitable sets. These results are used to solve extremal problems. The functions we consider are defined by subordination to certain classes of starlike and convex mappings.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 59-64
- MSC: Primary 30A32
- DOI: https://doi.org/10.1090/S0002-9939-1974-0357757-2
- MathSciNet review: 0357757