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An Application of Borel-Caratheodory Theorem
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The theorem in the title (see p.174 of [7]) is the following one.
Theorem 1: if f(z') is analytic in |z| ≤ 1 and f(0) = 0 ,
Then
|f(z)| ≤ 2(2A(f)) |z|/1-|z|.........(1)
Keywords
Borel - Caratheodory Theorem, Maximum Modulus Principle.
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