A complex translation is a map of the form 
, where 
is a fixed complex number, which corresponds to translation
(shifting) of points the complex plane by the complex
number 
.
Complex Translation
See also
Complex Magnification, Complex Map, Complex Rotation, TranslationThis entry contributed by David Terr
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Cite this as:
Weisstein, Eric W., with contributions by David Terr. "Complex Translation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexTranslation.html