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Let f be analytic on a closed region D. Show that v = Im((2)) will reach a maximum on the boundary of D. (Hint:

Let f be analytic on a closed region D. Show that v boundary of D (Hint: First consider the analytic function e-f().) Im(f(2)

Let f be analytic on a closed region D. Show that v = Im((2)) will reach a maximum on the boundary of D. (Hint: First consider the analytic function e-if(z).)

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