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