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Mathematics, 17.04.2020 17:13 Bubba06

Let f(z) = u(x, y) +iv(x, y) is continuous on a closed bounded region R and f is analytic and not constant in the interior of R. Prove that the component function u(x, y) has a maximum and minimum values of v(x, y) are reached on the boundary of R and never in the interior.

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