Coefficients associated with the reciprocal of the Mandelbrot set (Q1206905)

The authors find bounds for the mapping function associated with the reciprocal of the Mandelbrot set. As mentioned by the authors, Douady and Hubbard earlier proved that for \(R=\{1/w\), \(w\in M\), \(M\) the Mandelbrot set\} there is a conformal map from \(D=\{z\): \(| z|<1\}\) onto \(\overline {R}=C\setminus R\). Sharp bounds for the map coefficients of this map are given.