Hi, Im trying to find biholomorphic maps. More explicitly, let be the unit disk. Im looking for for biholomorphic maps that transform a) the ellipse b) the half-strip into . Any help for either a) or b) is appreciated.
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a) Put .
I thought about that, but I dont think its holomorphic (although its real differentiable) since the Cauchy Riemann differential equations do not hold.
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