[Regular tetration] [Iteration series] norming fixpoint-dependencies
#2
I have added a plot of the principle of norming.
For the plot I took my old norming where I identify height h=0 in the middle segment by
Code:
.

   x0 = 1                                     // height(x0) is zero y initial definition
   x1 = tet0 (x0,  Pi*i / ln(fp0) )      // real part of height(x2) is zero
      x1_2 = log_b(log_b(x1))            // shift height of x1 to avoid overflow in the next
   x2 = tet1 (x1_2, Pi*I/ln(fp1))     // height(x2) = -2  using tet1-functions (using fp1)

   

Gottfried
Gottfried Helms, Kassel
Reply


Messages In This Thread
RE: [Regular tetration] norming fixpoint-dependencies - by Gottfried - 07/28/2010, 09:49 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  the fraction iteration approximation of tetration Alex Zuma 2025 0 40 04/14/2026, 06:52 PM
Last Post: Alex Zuma 2025
  Exotic fixpoint formulas tommy1729 2 3,957 06/20/2023, 10:10 PM
Last Post: tommy1729
  Divergent Series and Analytical Continuation (LONG post) Caleb 54 57,142 03/18/2023, 04:05 AM
Last Post: JmsNxn
  Discussion on "tetra-eta-series" (2007) in MO Gottfried 40 41,468 02/22/2023, 08:58 PM
Last Post: tommy1729
  What are the types of complex iteration and tetration? Daniel 5 8,116 08/17/2022, 02:40 AM
Last Post: JmsNxn
Question Tetration Asymptotic Series Catullus 18 22,275 07/05/2022, 01:29 AM
Last Post: JmsNxn
Question Formula for the Taylor Series for Tetration Catullus 8 13,686 06/12/2022, 07:32 AM
Last Post: JmsNxn
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 53,197 06/11/2022, 12:24 PM
Last Post: tommy1729
  Categories of Tetration and Iteration andydude 13 45,632 04/28/2022, 09:14 AM
Last Post: MphLee
  Calculating the residues of \(\beta\); Laurent series; and Mittag-Leffler JmsNxn 0 3,717 10/29/2021, 11:44 PM
Last Post: JmsNxn



Users browsing this thread: 2 Guest(s)