Answer to Question #119418 in Complex Analysis for Rochenille

Question

Suppose that f(z) is analytic/holomorphic in Ω, an open connected set and |f(z)| < 1 for z ∈ Ω. Show that the function defined by g(z) = Summation from n=1 to infinity n{f(z)}^n is also holomorphic in Ω

Answer 1

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