Unformatted text preview: R , the image f ( R ) is also a rectangle, then f is linear. 5. (for grade) Describe the image of the upper half plane under a mapping of the form f ( z ) = az + b cz + d where a,b,c,d are real and ad-bc < 0. 6. Find a formula for all conformal automorphisms of the upper half plane. 1...
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- Summer '07
- upper half plane, one-to-one analytic mapping