MandelbrotSetBoettcher

MandelbrotSetBoettcher[z] gives the Böttcher coordinate of z with respect to the Mandelbrot set.

The Böttcher coordinate maps the exterior of the Mandelbrot set conformally to the exterior of the unit disk.

Examples

MandelbrotSetBoettcher[2 + I]

Abs[MandelbrotSetBoettcher[3]]

MandelbrotSetBoettcher[0.5 + 0.5 I]

*See the official Wolfram Language Reference for more details.