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Cayley Transform

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CayleyTransform

The linear fractional transformation

z|->(i-z)/(i+z)

that maps the upper half-plane {z:I[z]>0} conformally onto the unit disk {z:|z|<1}.

See also

Conformal Mapping, Linear Fractional Transformation

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References

Krantz, S. G. "The Cayley Transform." §6.3.5 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 85, 1999.

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Cayley Transform

Cite this as:

Weisstein, Eric W. "Cayley Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CayleyTransform.html

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