05/15/2010, 01:39 AM
(05/10/2010, 06:16 PM)chobe Wrote: I saw the wiki page that mentioned extending tetration to real heights...
<http://en.wikipedia.org/wiki/Tetration#Extension_to_real_heights>
That would be a↑↑x for x∈R and a=constant. I was wondering if anyone knew the names of any books or papers that went over the process of this extension
There is also a (unfortunately unfinished) survey paper explaining the different methods in detail here. However most of the methods except regular iteration are not yet proven to be valid. Despite, numerical evidence supports that these are working well.