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 x^(1/x) = f^[oo](x) ?? tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 08/13/2013, 12:10 PM As an additional comment I would like to say that if we wanted an iterated power tower a_n^a_(n-1)^...a_0 then this is in some sense the inverse question of my comment to gottfried(*) where we wanted the power tower a_0^a_1^a^2^... (* http://math.eretrandre.org/tetrationforu...hp?tid=799 ) I know Ramanujan investigated this kind of " inversing " in particular for square root or other root iterations (and continued fraction ofcourse). http://mathworld.wolfram.com/NestedRadicalConstant.html And I have been toying with power towers too , such as my " tommyzeta function " here : http://oeis.org/A102575 A good theory for this seems not yet made ? regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread x^(1/x) = f^[oo](x) ?? - by tommy1729 - 08/12/2013, 11:18 PM RE: x^(1/x) = f^[oo](x) ?? - by tommy1729 - 08/12/2013, 11:33 PM RE: x^(1/x) = f^[oo](x) ?? - by tommy1729 - 08/13/2013, 12:10 PM

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