There doesn’t seem to have been much done in the way of studying fractals of iterated functions involving gamma. At least nothing that I could find.

So I started playing around with it. It’s a bit difficult to work with as sage (4.3.2) keeps crashing when I try to plot it (try to run complex_plot(gamma(gamma(x)), [-10,10], [-10,10]) or complex_plot(gamma(gamma(gamma(x))), [-5,5], [-5,5]) ), but I still got some pictures…

Identity

Gamma Function

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Tags: fractals, math, sage

This entry was posted on February 12, 2010 at 19:18 and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed.
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December 29, 2011 at 19:48 |

Found a picture of the gamma-iteration fractal. Here :

http://www.lactamme.polytechnique.fr/Mosaic/images/ITGA.11.16.D/display.html

December 30, 2011 at 20:54 |

Wow! Thank you very much for the link!