ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 03 Sep 2012 17:37:45 +0200Plotting an Infinite Power Towerhttps://ask.sagemath.org/question/9188/plotting-an-infinite-power-tower/How would one go about expressing/plotting the infinite "power tower" function f(x)=x^(x^(x^...))? I am not finding much information with search/google. Thank you.Mon, 03 Sep 2012 03:02:32 +0200https://ask.sagemath.org/question/9188/plotting-an-infinite-power-tower/Answer by benjaminfjones for <p>How would one go about expressing/plotting the infinite "power tower" function f(x)=x^(x^(x^...))? I am not finding much information with search/google. Thank you.</p>
https://ask.sagemath.org/question/9188/plotting-an-infinite-power-tower/?answer=13996#post-id-13996The infinite power tower function can be represented in terms of the "Lambert W" special function which is implemented in Sage as `lambert_w`. See equation (13) of this [Mathworld](http://mathworld.wolfram.com/PowerTower.html) article.Mon, 03 Sep 2012 17:37:45 +0200https://ask.sagemath.org/question/9188/plotting-an-infinite-power-tower/?answer=13996#post-id-13996