Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
An explicit series for the tetration of a complex height
#1
NOTE: The information in this post and the attachment is outdated. For more recent development, scroll down or see http://mathoverflow.net/q/259278/9550

I found an analytic function given by an explicit series, that generalizes the tetration in the sense that it reproduces its values for all positive integer heights and satisfies the same functional relation for all arguments in its domain of analyticity. Numerically it seems to match Kneser's solution, a PARI/GP program for which was posted on this forum. Any questions and critique are welcome. A short note explaining my solution is attached and is also available at https://tinyurl.com/tetration


Attached Files
.pdf   Tetration.pdf (Size: 36 KB / Downloads: 323)
Reply


Messages In This Thread
An explicit series for the tetration of a complex height - by Vladimir Reshetnikov - 10/22/2016, 10:29 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Perhaps a new series for log^0.5(x) Gottfried 3 901 03/21/2020, 08:28 AM
Last Post: Daniel
  Complex Tetration, to base exp(1/e) Ember Edison 7 3,318 08/14/2019, 09:15 AM
Last Post: sheldonison
Question Taylor series of i[x] Xorter 12 13,816 02/20/2018, 09:55 PM
Last Post: Xorter
  Complaining about MSE ; attitude against tetration and iteration series ! tommy1729 0 1,891 12/26/2016, 03:01 AM
Last Post: tommy1729
  Taylor series of cheta Xorter 13 14,921 08/28/2016, 08:52 PM
Last Post: sheldonison
  Tetration series for integer exponent. Can you find the pattern? marraco 20 19,243 02/21/2016, 03:27 PM
Last Post: marraco
  Explicit formula for the tetration to base [tex]e^{1/e}[/tex]? mike3 1 3,376 02/13/2015, 02:26 PM
Last Post: Gottfried
  Negative, Fractional, and Complex Hyperoperations KingDevyn 2 7,002 05/30/2014, 08:19 AM
Last Post: MphLee
  [integral] How to integrate a fourier series ? tommy1729 1 2,869 05/04/2014, 03:19 PM
Last Post: tommy1729
  new results from complex dynamics bo198214 25 37,884 02/25/2013, 01:42 AM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)