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hwk3 - f 2 = 1/z as long as z is not zero 2 Evaluate the...

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Physics 604 Homework #3 Fall ‘11 Dr. Drake 1. Arfken Chapter 6 : 5.1, 5.10, 5.11 Hint: for 5.11 (b), let z = re and deform the t integral so that as θ changes the t integral always converges – this is the analytic continuation of the integral representation. Show that if you now complete the integral, you obtain
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Unformatted text preview: f 2 = 1 /z as long as z is not zero. 2. Evaluate the following integral using two different techniques. Z C dz ( z 2-1) 1 / 2 , where the C is a closed contour which encloses both singularities. A branch cut along the real axis extends from-1 to 1....
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