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
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