Unformatted text preview: h ! Be sure to justify all steps. (15 pts) 4. In what region is F ( z ) = ∞ X 1 e z ln n analytic? Be sure to give a proof. (20 pts) 5. For what real p does ∞ Z x p 1 + x dx converge? Compute this integral for all such p . (15 pts) 6. Map the region bounded by  z  < 1 ,  zi  < 1 conformally onto the half–plane Im w > 0. If you use a composition of maps, you need only indicate the individual components....
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 Spring '09
 Math, pts, 15 pts, Laurent, Prof. Drasin

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