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hw6 - another proof that such a function is constant 5 Use...

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Complex Analysis Spring 2001 Homework VI Due Friday June 1 1. Conway, chapter 5, section 1, problem 1 b,h,i,j. 2. Conway, chapter 5, section 1, problem 4. 3. Conway, chapter 5, section 1, problem 13. 4. Prove that if f is entire with | f ( z ) | ≤ K + m log(1 + | z | ) for some K, m > 0 then f has a removable singularity at infinity, and use this and the preceding problem to give
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Unformatted text preview: another proof that such a function is constant. 5. Use our basic version of Rouch´ e’s theorem to count the number of roots of p ( z ) = z 7-2 z 5 + 6 z 3-z + 1 = 0 inside the unit disk. 6. Conway, Chapter 5, section 3, problem 10...
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