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 A new set of numbers is necessary to extend tetration to real exponents. marraco Fellow Posts: 93 Threads: 11 Joined: Apr 2011 03/12/2015, 11:10 PM (This post was last modified: 03/12/2015, 11:34 PM by marraco.) 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 « Next Oldest | Next Newest »

 Messages In This Thread A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/11/2015, 07:56 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/12/2015, 06:04 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/12/2015, 10:58 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/12/2015, 11:10 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by sheldonison - 03/14/2015, 10:37 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/19/2015, 12:47 AM RE: A new set of numbers is necessary to extend tetration to real exponents. - by sheldonison - 03/19/2015, 09:59 PM RE: A new set of numbers is necessary to extend tetration to real exponents. - by marraco - 03/19/2015, 10:45 PM

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