Hey who can help me with this: Let f be holomorphic in a neighborhood of a closed disk . Then is a holomorphic function on . Why, and which one?
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Did you compute for ?
Why do I do this, to check whether its holomorphic?
Yes, we try to check the definition of holomorphic.
Im somehow lost, when I compute the quotient I just get f'(z) multiplied by a constant. And I dont really use the fact that z is outside D.
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