 96691 Jung, W.
 Some explicit formulas for components of the Mandelbrot set
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Dec 31, 96

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Abstract. Let f be rational function, which has k ncycles under iteration. By using
the symmetry of the underlying equation of degree kn, it is reduced to
equations of degree k and n. This is explained in terms of Galois theory.
The 3 and 4cycles of f(z)=z^2+c are obtained explicitly. This yields the
corresponding multiplier, which maps hyperbolic components of the
Mandelbrot set conformally onto the unit disk.
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