Question: complex number problem Show that if f is analytic within some open subset D C, then uxx + uyy = 0 = vxx + vyy.

complex number problem

Show that if f is analytic within some open subset D C, then uxx + uyy = 0 = vxx + vyy. For simplicity, let's assume that f(z) = u(x, y) + iv(x, y) and both components are C² functions.

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