On bounded univalent functions that omit two given values
Betsakos, Dimitrios
Colloquium Mathematicae, Tome 79 (1999), p. 253-258 / Harvested from The Polish Digital Mathematics Library
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Let a,b ∈ z: 0<|z|<1 and let S(a,b) be the class of all univalent functions f that map the unit disk into {a,bwith f(0)=0. We study the problem of maximizing |f’(0)| among all f ∈ S(a,b). Using the method of extremal metric we show that there exists a unique extremal function which maps onto a simply connnected domain D0 bounded by the union of the closures of the critical trajectories of a certain quadratic differential. If a<0

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:210716 
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     year = {1999},
     pages = {253-258},
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Betsakos, Dimitrios. On bounded univalent functions that omit two given values. Colloquium Mathematicae, Tome 79 (1999) pp. 253-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p253bwm/

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