Mobius transformation satisfying certain properties I'm having some trouble showing that

Jennifer Beasley 2022-02-15 Answered
Mobius transformation satisfying certain properties
I'm having some trouble showing that a Mobius transformation F maps 0 to  and  to 0 iff F(z)=dz1 for some dC. Mainly with the "only if" part. Do I need to use pictures?
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patriette65s
Answered 2022-02-16 Author has 15 answers
Write f(z)=az+bcz+d. What are f(0) and f() in terms of a,b,c,d? Deduce further.
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