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.
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019