Source: wikibot/mobius-transformation
= Möbius transformation
{wiki=Möbius_transformation}
A Möbius transformation (or linear fractional transformation) is a function defined on the complex numbers that has the general form: \\\[ f(z) = \\frac\{az + b\}\{cz + d\} \\\] where \\(a\\), \\(b\\), \\(c\\), and \\(d\\) are complex numbers, and \\(ad - bc \\neq 0\\) to ensure that the transformation is well-defined (i.e., it is not degenerate).