Möbius Transforms
Möbius Transforms
The parametric plot shows the transformation of the polar coordinate lines under the Möbius transform . The point is the image of 0, and is the image if . Transformation of the complex plane (in polar coordinates) under a Möbius transform can be observed by dragging the two points.
f(z)=
a+bz
1+z
a
b
∞