Difference between revisions of "Riemann Mapping Theorem"
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'''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'' into the interior of the [[unit disc]] such that ''f(x<sub>0</sub>) = 0'' and ''f'(x<sub>0</sub>) > 0''. | '''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'' into the interior of the [[unit disc]] such that ''f(x<sub>0</sub>) = 0'' and ''f'(x<sub>0</sub>) > 0''. | ||
| − | [[Category:Complex | + | [[Category:Complex Analysis]] |
Latest revision as of 01:03, August 14, 2018
Riemann mapping theorem states that if U is a simply connected, open, proper subset of the complex plane and x0 is a point in U, then there exist a unique function f mapping U into the interior of the unit disc such that f(x0) = 0 and f'(x0) > 0.