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Math Help - Mobius Map

  1. #1
    Junior Member
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    Mobius Map

    Find the Mobius map that maps (0,i,-i) to (1,-1,0) in that order.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Write a generic Möbius function:

    f(z)=\dfrac{az+b}{cz+d}

    and solve the system

    \begin{Bmatrix}f(0)=1\\ f(i)=-1\\f(-i)=0\end{matrix}

    Fernando Revilla
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