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The Most General Form of a Particular Mobius Transformation

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I need a solution for the attached Mobius problem.

(a) Find the most general Mobius transformation that maps the right half-plane to the unit disc carrying the point 17 to the origin.

(b) Find a Mobius transformation that maps the right half-plane to the upper half-plane carrying the point 7 + 5i to 3i.

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Solution Summary

This solution finds the most general form of a Mobius transformation which maps the right half-plane to the unit disk and 17 to the origin.

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