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On Regions Omitted By Univalent Functions II
Published online by Cambridge University Press: 20 November 2018
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1. Introduction. Let S denote the family of functions f(z) regular and univalent in ∣z∣ < 1, with the expansion f(z) = z + a2z2 + … about z = 0, and let Af denote the area of the intersection of the open circle ∣ω∣ < 1 with Df, the image of ∣z∣ < 1 under f(z). A few years ago one of the authors (1) proved that if
1
then
2.
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- Copyright © Canadian Mathematical Society 1955
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