For z = 1 as the only invariant point, Bilinear Transf. can be put in the form 1/w-1 = 1/z-1 + 1/k

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Every Bilinear Transform with one fixed point 𝑝 can be put in 1/(𝑤-𝑝)=𝑘+{1/(𝑧-𝑝)} where 𝑘=𝑎/(𝑎-𝑐𝑝).Every Bilinear Transform with one fixed point 𝑝 can be put in 1/(𝑤-𝑝)=𝑘+{1/(𝑧-𝑝)} where 𝑘=𝑎/(𝑎-𝑐𝑝).
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