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

DOI:
https://doi.org/10.1090/S0002-9939-1991-1037204-8

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 of normalized univalent functions. This is applied to the coefficient problem of as well as to the problem of univalence of sections of the power series expansion of .

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1037204-8

Article copyright:
© Copyright 1991
American Mathematical Society