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Criteria for the extremality of the Koebe mapping

Authors: D. Bshouty and W. Hengartner
Journal: Proc. Amer. Math. Soc. 111 (1991), 403-411
MSC: Primary 30C50; Secondary 30C55
MathSciNet review: 1037204
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Abstract: A criterion is developed which gives a necessary condition on a real functional in order that the Koebe Mapping be extremal for this functional in the well known class $ S$ of normalized univalent functions. This is applied to the coefficient problem of $ {[f(z)]^\lambda },0 < \lambda < 1$ as well as to the problem of univalence of sections of the power series expansion of $ f(z)$.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1991 American Mathematical Society

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