Möbius transformation

noun Mathematics.

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 adbc 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