Coefficients associated with the reciprocal of the Mandelbrot set (Q1206905)
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scientific article; zbMATH DE number 150642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coefficients associated with the reciprocal of the Mandelbrot set |
scientific article; zbMATH DE number 150642 |
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Coefficients associated with the reciprocal of the Mandelbrot set (English)
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1 April 1993
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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.
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Mandelbrot set
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conformal map
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Sharp bounds
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