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 Translation
*This 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