Möbius transformations

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Related to Möbius transformation: Linear Fractional Transformations

Möbius transformations

[′mər·bē·əs ‚tranz·fər′mā·shənz]
(mathematics)
These are the most commonly used conformal mappings of the complex plane; their form is ƒ(z) = (az + b)/(cz + d) where the real numbers a, b, c, and d satisfy ad-bc ≠ 0. Also known as linear fractional transformations. Also known as bilinear transformations; homographic transformations.