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CONFORMAL MAPPINGS OF CLOSE-TO-CONVEX DOMAINS
Published online by Cambridge University Press: 01 June 1997
Abstract
Let f be analytic and univalent in Δ={z:[mid ]z[mid ]<1}. We write
formula here
for 0[les ]r<1 and θ∈[0, 2π], and remark that L(r, θ) is the length of the image in f(Δ) of the ray joining 0 to reiθ in Δ. We shall be concerned with the growth of L(r, θ), as a function of r, for univalent functions in Δ and, more particularly, for functions in the subclass of close-to-convex univalent functions in Δ.
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- The London Mathematical Society 1997
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