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MAKE A MEME View Large Image $Herman+Parabolic.png en A rational function possesses a Herman ring and parabolic Fatou component own Yangfei math Here is an example of a rational function which possesses a Herman ring <math>f z \frac e 2 \pi i \tau z 2 z - 4 1 - 4z </...$

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Keywords: Herman+Parabolic.png en A rational function possesses a Herman ring and parabolic Fatou component own Yangfei math Here is an example of a rational function which possesses a Herman ring <math>f z \frac e 2 \pi i \tau z 2 z - 4 1 - 4z </math> where <math>\tau 0 6151732\dots</math> such that the rotation number of on the unit circle is <math> \sqrt 5 -1 /2</math> The picture shown on the right is the Julia set of the curves in the white annulus are the orbits of some points under the iterations of while the dashed line denotes the unit circle The image has been rotated Complex analysis Parabolic Julia sets Herman ring Complex rational maps