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**Unformatted text preview: **Let Ω be a region containing D (0 , 1). Let Γ be the boundary ∂D (0 , 1) traversed once counter-clockwise. Suppose f : Ω → C is analytic, f ( z ) 6 = 0 for all z ∈ ∂D (0 , 1), and 1 2 πi Z Γ f ( z ) f ( z ) dz = 2 , (3.1) 1 2 πi Z Γ z f ( z ) f ( z ) dz = 0 , (3.2) 1 2 πi Z Γ z 2 f ( z ) f ( z ) dz = 1 2 . (3.3) Find all zeros of f in D (0 , 1). Date : November 28, 2007 (Version 1.0); posted: November 29, 2007; due: December 5, 2007. 1...

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- Fall '07
- Lim
- Math, Analytic function, integral fi