Find an analytic function that maps the region R bounded by the positive x and y semi axes and the hyperbola xy in the first quadrant onto the upper half plane Hint First map R onto a horizontal strip

Question: Find an analytic function that maps the region R bounded by the positive x- and y-semi-axes and the hyperbola xy = in the first

Find an analytic function that maps the region R bounded by the positive x- and y-semi-axes and the hyperbola xy = π in the first quadrant onto the upper half-plane. Hint. First map R onto a horizontal strip.

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