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
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!