Complex Magnification
A complex magnification is a map of the form z|->az, where a is a positive real number, which corresponds to magnification about the origin of points in the complex plane by the factor a if a is greater than 1, or shrinking by a factor 1/a if a is less than 1.
See also
Complex Map, Complex Rotation, Complex TranslationThis entry contributed by David Terr
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Terr, David. "Complex Magnification." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ComplexMagnification.html