Möbius transformation

Möbius transformation

Postby Guest » Wed Jan 09, 2019 6:19 pm

Let M:C->C be the Möbius transformation with M(i/[tex]\alpha[/tex])=i-1 and M(i\alpha)=i +1 for some \alpha E R , \alpha>1.
Find M(0) and M(\infty). What is the hyperbolic distance between i-1 and i+1?
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