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Convex hulls and
extreme points of families of starlike and close-to-convex
mappings
David James Hallenbeck |
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Vol. 57 (1975), No. 1, 167–176
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Abstract |
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The closed convex hull is obtained for the functions which are starlike of order α,k-fold symmetric, and real on (−1,1). The same result for the close-to-convex functions which are k-fold symmetric is obtained. Integral representations are given for the hulls of these and other families in terms of probability measures on suitable sets. These results are used to solve extremal problems. |
Mathematical Subject Classification
Primary: 30A32
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Milestones
Received: 7 October 1974
Published: 1 March 1975
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Authors |
| David James Hallenbeck | |
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