Möbius transformations(redirected from Mobius transformations)
Möbius transformations[′mər·bē·əs ‚tranz·fər′mā·shənz]
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.