Question

Question: Let Ω be the simply connected domain of the Riemann mapping theorem and let F be the conformal mapping of Ω onto D. Show that if is a sequence in converging to a point in the boundary, then F(Zn) converges to the unit circle in the sense that |F(En)1 (This does not say F(Zn)} is convergent, although if it is, it must converge to a point in the unit circle.)

Answer 1

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