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A new set of numbers is necessary to extend tetration to real exponents.
#4
This paper (how do I insert a link here? the icons don't work)
Henryk Trappmann, Dmitrii Kouznetsov, Methods for real analytic tetration
https://bbuseruploads.s3.amazonaws.com/b...ain.pdf%22

That paper argues that Ttr(a,-1) = 0, and Ttr(a,-2) = ln(0) = -∞
, so it limits the domain of tetration exponents to (-2,∞)

But it does not account for multiple valued results for Ttr(a,-1), which give meaningful values for any negative integer (-∞,∞).

As I argued, Ttr(a,-1) = i.n.2.pi/ln(a)

So, there are infinite values, and for each n, Ttr(a,-2) also gives infinite vales: ∞², and Ttr(a,-3) haves ∞³ answers
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Messages In This Thread
RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/12/2015, 11:10 PM

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