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'''Riemann mapping theorem''' states that if U is a simply connected, open, proper subset of the complex plane, then there exist a unique [[conformal transformation]] f mapping U to the interior of the [[unit disc]].
'''Riemann mapping theorem''' states that if ''U'' is a simply connected, open, proper subset of the complex plane and x<sub>0</sub> is a point in ''U'', then there exist a unique function ''f'' mapping U to the interior of the [[unit disc]] such that ''f(x<sub>0</sub>) = 0'' and ''f'(x<sub>0</sub>) > 0''.
[[category:complex analysis]]
[[category:complex analysis]]