Is tetration analytic?
#1
How can an analytic function grow as fast as tetration? For example the tetrates of 4, 
\( ^n 4 \). 

Is the following identity valid? 
\( \sum_{k=0}^{\infty} \, a_{2,k} \ z^k=\sum_{m=2}^{\infty} \ \sum_{k=0}^{\infty}b_{m,k} \ z\rightarrow k \rightarrow m \)
Daniel
Reply


Messages In This Thread
Is tetration analytic? - by Daniel - 07/06/2022, 03:46 PM
RE: Is tetration analytic? - by JmsNxn - 07/06/2022, 07:37 PM
RE: Is tetration analytic? - by MphLee - 07/06/2022, 07:51 PM
RE: Is tetration analytic? - by JmsNxn - 07/06/2022, 09:08 PM
RE: Is tetration analytic? - by Daniel - 07/06/2022, 08:03 PM
RE: Is tetration analytic? - by MphLee - 07/07/2022, 10:01 PM
RE: Is tetration analytic? - by JmsNxn - 07/08/2022, 01:31 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  double functional equation , continuum sum and analytic continuation tommy1729 6 9,665 03/05/2023, 12:36 AM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 71,836 11/27/2022, 06:53 AM
Last Post: JmsNxn
  Qs on extension of continuous iterations from analytic functs to non-analytic Leo.W 18 24,895 09/18/2022, 09:37 PM
Last Post: tommy1729
  Constructing an analytic repelling Abel function JmsNxn 0 3,063 07/11/2022, 10:30 PM
Last Post: JmsNxn
  Brute force tetration A_k(s) is analytic ! tommy1729 9 14,454 03/22/2021, 11:39 PM
Last Post: JmsNxn
  Nixon-Banach-Lambert-Raes tetration is analytic , simple and “ closed form “ !! tommy1729 11 18,382 02/04/2021, 03:47 AM
Last Post: JmsNxn
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 6,040 03/20/2018, 12:16 AM
Last Post: tommy1729
Question Analytic matrices and the base units Xorter 2 10,308 07/19/2017, 10:34 AM
Last Post: Xorter
  Non-analytic Xorter 0 5,270 04/04/2017, 10:38 PM
Last Post: Xorter
  A conjectured uniqueness criteria for analytic tetration Vladimir Reshetnikov 13 40,437 02/17/2017, 05:21 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)