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Unformatted text preview: 1 2 + i to 1 2i . If f ( z ) = 2 e z z 2z , compute R C f ( z ) dz . (Hint: Write f ( z ) as g ( z ) / ( zz ) and use Cauchys integral formula.) 4. Let C be the unit circle, and suppose that f ( x + iy ) = x + iy on C . If f ( z ) is holomorphic on C , what is f (0)? 1...
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This note was uploaded on 07/25/2008 for the course MATH V1202 taught by Professor Neel during the Spring '07 term at Columbia.
 Spring '07
 NEEL
 Calculus

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