Let : [0,1] be any curve. Define

Prove that is holomorphic on \ , where

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- Mar 16th 2010, 11:53 PMKat-Mcomplex analysis
Let : [0,1] be any curve. Define

Prove that is holomorphic on \ , where - Sep 12th 2010, 09:43 PMRebesques
You can compute the difference quotient as . The limit is (what a surprise) .

ps. what's with the \oint? I believe that notation is,

only to signify counter-clockwise integration along a closed curve (Thinking)