Tetration Forum › Tetration and Related Topics › Mathematical and General Discussion v
Zeta iterations

Linear Mode
Zeta iterations
Gottfried Offline
Ultimate Fellow
*****
Posts: 904
Threads: 131
Joined: Aug 2007
#4
02/24/2013, 11:30 AM (This post was last modified: 02/24/2013, 11:31 AM by Gottfried.)
(02/24/2013, 11:21 AM)Balarka Sen Wrote: want to know why zeta^[m](x) for complex x's tends to that unique fixed point for large m's? Is it just a mathematical coincidence or has a reason behind it?

Thank you for your time,

Balarka
.
Hi Belarka - possibly I just misunderstand your question. But if not: just because the absolute value of the derivative at z is smaller than 1 is that reason - at least as far as I understand that thing (I may be wrong, though).

Gottfried
Gottfried Helms, Kassel
Website Find
Reply


Messages In This Thread
Zeta iterations - by Balarka Sen - 02/24/2013, 08:00 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 11:10 AM
RE: Zeta iterations - by Balarka Sen - 02/24/2013, 11:21 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 11:30 AM
RE: Zeta iterations - by Balarka Sen - 02/24/2013, 11:36 AM
RE: Zeta iterations - by Gottfried - 02/24/2013, 12:28 PM
RE: Zeta iterations - by tommy1729 - 02/24/2013, 07:54 PM
RE: Zeta iterations - by bo198214 - 02/24/2013, 08:36 PM
RE: Zeta iterations - by tommy1729 - 02/24/2013, 09:13 PM
RE: Zeta iterations - by Gottfried - 02/25/2013, 12:17 AM
RE: Zeta iterations - by Balarka Sen - 02/25/2013, 10:48 AM
RE: Zeta iterations - by Gottfried - 02/26/2013, 09:49 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  [note dump] Iterations and Actions MphLee 24 31,993 5 hours ago
Last Post: MphLee
  Is there any ways to compute iterations of a oscillating function ? Shanghai46 3 7,833 10/15/2023, 11:21 PM
Last Post: tommy1729
  [special] binary partition zeta function tommy1729 1 3,786 02/27/2023, 01:23 PM
Last Post: tommy1729
  [NT] more zeta stuff for the fans tommy1729 11 11,692 02/23/2023, 12:59 PM
Last Post: tommy1729
  digit extracting iterations tommy1729 0 2,431 02/05/2023, 11:08 PM
Last Post: tommy1729
  toy zeta function tommy1729 0 2,771 01/20/2023, 11:02 PM
Last Post: tommy1729
  Qs on extension of continuous iterations from analytic functs to non-analytic Leo.W 18 24,980 09/18/2022, 09:37 PM
Last Post: tommy1729
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 15,138 07/19/2022, 03:18 AM
Last Post: JmsNxn
  Consistency in the composition of iterations Daniel 9 12,155 06/08/2022, 05:02 AM
Last Post: JmsNxn
  Has anyone solved iterations of z+Γ(z)? Leo.W 5 8,334 01/07/2022, 08:15 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)