hw5 - R f f dz is an even multiple of 2 i for f ( z ) = 1-z...

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Complex Analysis Spring 2001 Homework V Due Friday May 26 1. Conway, chapter 4, section 5, problem 7. 2. Conway, chapter 4, section 5, problem 9. 3. Conway, chapter 4, section 6, problem 6. 4. Conway, chapter 4, section 6, problem 10. 5. Show that an analytic branch of 1 - z 2 can be defined in any region G such that 1 and - 1 lie in the same component of the complement, by proving that
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Unformatted text preview: R f f dz is an even multiple of 2 i for f ( z ) = 1-z 2 for every closed curve in G. 6. Show how the proof of Theorem 7.2 can be modied to evaluate Z f ( z ) f ( z ) h ( z ) dz where f, , and G are as in Theorem 7.2, and h ( z ) is analytic on G ....
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This note was uploaded on 10/22/2009 for the course MATH 552 taught by Professor Snider during the Spring '01 term at USC.

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