Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Transseries, nest-series, and other exotic series representations for tetration
#21
(12/14/2009, 03:16 PM)bo198214 Wrote: Mike, I have another bad news, I found out that not even the Faulhaber sum of is convergent, contrary to what I said before because it looks convergent up to n=100 terms; so your transseries sum can not be convergent.

How does that refute the summation I gave with the transseries? That involves continuum-summing on terms of the form , not or or something like that.
Reply


Messages In This Thread

Possibly Related Threads...
Thread Author Replies Views Last Post
Question Taylor series of i[x] Xorter 12 10,124 02/20/2018, 09:55 PM
Last Post: Xorter
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 10,378 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Complaining about MSE ; attitude against tetration and iteration series ! tommy1729 0 1,404 12/26/2016, 03:01 AM
Last Post: tommy1729
  2 fixpoints , 1 period --> method of iteration series tommy1729 0 1,243 12/21/2016, 01:27 PM
Last Post: tommy1729
  Taylor series of cheta Xorter 13 10,796 08/28/2016, 08:52 PM
Last Post: sheldonison
  Tetration series for integer exponent. Can you find the pattern? marraco 20 14,909 02/21/2016, 03:27 PM
Last Post: marraco
  [AIS] (alternating) Iteration series: Half-iterate using the AIS? Gottfried 33 34,691 03/27/2015, 11:28 PM
Last Post: tommy1729
  [2014] Representations by 2sinh^[0.5] tommy1729 1 2,127 11/16/2014, 07:40 PM
Last Post: tommy1729
  [integral] How to integrate a fourier series ? tommy1729 1 2,284 05/04/2014, 03:19 PM
Last Post: tommy1729
  Wonderful new form of infinite series; easy solve tetration JmsNxn 1 4,093 09/06/2012, 02:01 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)