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It's been a week and nobody has provided any reason to think that the section on fractional iteration can be validated through being published. Ironically I don't disagree with the results, I just think they should be published first. [[User:Daniel Geisler|Daniel Geisler]] ([[User talk:Daniel Geisler|talk]]) 11:22, 21 May 2014 (UTC)
:? What exactly is your point? You are proposing to delete section 6 until somebody finds a remote refereed attribution for the elementary examples? As I indicated, this would be detrimental to the article, but not a tragedy, as they are misleading in suggesting to the reader how professionals in the field actually solve such equations in practice. To me, the examples appear obvious--the first naive thing that crosses one's mind--albeit off the mark. Starting from Babbage and continuing with Schroeder, both in the 19th century, conjugacy is '''the''' answer. Check it out on the iteration orbit of, e.g. sin(x) as contrasted to the actual answer, e.g. in [[http://iopscience.iop.org/1751-8121/44/40/405205/ the roots of sine]]. However, at the end of the day, I see no actual harm in these examples. [[User:Cuzkatzimhut|Cuzkatzimhut]] ([[User talk:Cuzkatzimhut|talk]]) 12:59, 21 May 2014 (UTC)
== Should this page be renamed to "Function iteration"? ==
I've rewritten the lead to make it make sense at least marginally. However, it struck me that the article seems to be more about the general notion of iterating functions (as a generaly activity, or subject of study) than about the specific subject of functions that are of the form ''f'' <sup>''n''</sup>. Therefore I think the name "Function iteration" would much better cover the contents than "Iterated function". [[User:Marc van Leeuwen|Marc van Leeuwen]] ([[User talk:Marc van Leeuwen|talk]]) 08:42, 18 February 2015 (UTC)
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