Cayley Transform

Author

Eric W. Weisstein
January 20, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/ComplexAnalysis/CayleyTransform.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/CayleyTransform.html.

©2006 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Graphics`ComplexMap`
<<Utilities`Typesetting`

Image

CartesianMap[(I-#)/(I+#)&,{-5,5},{0,5,.25},PlotLabel->TraditionalForm[HoldForm[f[z]==(I-z)/(I+z)]],PlotRange->{{-1.1,1.1},{-1.1,1.1}},Ticks->None]