Thread Rating:
  • 1 Vote(s) - 3 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e))
#71
Hej Gottfried

In principle fits, as I want to get rid of real number line-I do not believe numbers are organized that way. There must be more logical and "mechanical" unified structure in mathematics which produces numbers, such where "unexpected connections" and "suprising identities" arise naturally. And so far Lambert function, and tetration related to it seems the most promising direction in finding at least some part of this structure.

Also, as i and thus h(e^pi/2)= i means rotation, the processes governing math might be as well governing or even, equaling physics and flows of infinitesimals. So I think GFR is absolutely right, next question is to find which of the number expressions is the basic one.
Reply


Messages In This Thread
RE: Imaginary zeros of f(z)= z^(1/z) (real valued solutions f(z)>e^(1/e)) - by Ivars - 11/22/2007, 10:36 PM
RE: Tetration below 1 - by Gottfried - 09/09/2007, 07:04 AM
RE: The Complex Lambert-W - by Gottfried - 09/09/2007, 04:54 PM
RE: The Complex Lambert-W - by andydude - 09/10/2007, 06:58 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Constructing real tetration solutions Daniel 4 215 12/24/2019, 12:10 AM
Last Post: sheldonison
  Complex or Real numbers more important? Daniel 0 77 12/22/2019, 10:36 AM
Last Post: Daniel
  b^b^x with base 0<b<e^-e have three real fixpoints Gottfried 1 2,341 11/07/2017, 11:06 AM
Last Post: sheldonison
  2 real fixpoints again ....... tommy1729 10 9,281 02/23/2016, 10:17 PM
Last Post: tommy1729
  A new set of numbers is necessary to extend tetration to real exponents. marraco 7 9,336 03/19/2015, 10:45 PM
Last Post: marraco
  Real-analytic tetration uniqueness criterion? mike3 25 21,469 06/15/2014, 10:17 PM
Last Post: tommy1729
  About real limits tommy1729 1 2,424 09/23/2013, 09:24 PM
Last Post: tommy1729
  Solutions to f ' (x) = f(f(x)) ? tommy1729 1 2,321 08/12/2013, 12:10 AM
Last Post: tommy1729
  Real and complex behaviour of the base change function (was: The "cheta" function) bo198214 39 52,160 08/13/2011, 06:33 PM
Last Post: bo198214
  The imaginary tetration unit? ssroot of -1 JmsNxn 2 5,427 07/15/2011, 05:12 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)