A bound of the exterior arcs for a univalent mapping
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In this paper we consider the intersection of the circle ¦w|=x with the image of the disc ¦z|≤r, 0<r<1, under the mapping of a function of the formf(z)=z+c2z2+... which is univalent analytic in ¦z|<1. Earlier I. E. Bazilevich proved that for x≥cπ/er the measure of the above intersection does not exceed the measure of the intersection produced by the functionf*(z)=z/(1−ηz)2, η¦=1. In this paper I. E. Bazilevich's ideas are used to strengthen some of his results.
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