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Date: 18-12-2018
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Date: 1-11-2018
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Date: 24-10-2018
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Let be a point in a simply connected region , where is the complex plane. Then there is a unique analytic function mapping one-to-one onto the disk such that and . The corollary guarantees that any two simply connected regions except (the Euclidean plane) can be mapped conformally onto each other.
REFERENCES:
Krantz, S. G. "The Riemann Mapping Theorem." §6.4 in Handbook of Complex Variables. Boston, MA: Birkhäuser, pp. 86-87, 1999.
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