Hey who can help me with this:

Letfbe holomorphic in a neighborhood of a closed disk . Then is a holomorphic function on .

Why, and which one?

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- Mar 20th 2011, 04:42 AMEinStoneHolomorphic function
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? - Mar 20th 2011, 04:51 AMgirdav
Did you compute for ?

- Mar 20th 2011, 05:13 AMEinStone
Why do I do this, to check whether its holomorphic?

- Mar 20th 2011, 05:30 AMgirdav
Yes, we try to check the definition of holomorphic.

- Mar 20th 2011, 09:28 AMEinStone
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.