# Möbius transformation

- a map of the complex plane to itself in which a point z is mapped to a point w by w = (az + b)/(cz + d), where a, b, c, and d are complex numbers and ad − bc does not equal zero.

## Origin of Möbius transformation^{}

see origin at Möbius strip

Also called bilinear transformation, linear fractional transformation.

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018