EXERCISE 26. Consider the smooth paths 71 (t) exp(it), 72(t) = exp(it)/2, and 73 (t) = exp(-it)/2 all defined on [0, 2π]
Posted: Thu Jun 30, 2022 7:40 pm
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EXERCISE 26. Consider the smooth paths 71 (t) exp(it), 72(t) = exp(it)/2, and 73 (t) = exp(-it)/2 all defined on [0, 2π] and the contours I₁ = 7₁, I2 = 71 72, and I3 = 71 73. Show that the contours are closed and find Indr, (z) for k = 1, 2, and 3 and for z = 0, z = 3i/4, and z = -2.