Iteration series
#4
Hi,

I'm looking at iteration-series again, and with the intention to apply the concept of "fractional summation bounds" (as Markus Müller has described this here) meaningfully to that series - perhaps to get another notion of fractional iterates.
But also in general I'm much interested, what properties such series may have.
Here is a step into it. I have it in winword so far (this can at least convert it to html), so you can see it in the browser:
Iteration series 0908
There is a certain aspect in that series which seems to be connected with the slog - but currently I'm a bit stuck and my creativity has a rest today. Perhaps someone here can give a further leading impulse...

Gottfried
Gottfried Helms, Kassel


Messages In This Thread
Iteration series - by Gottfried - 02/22/2009, 10:20 PM
RE: Iteration series - by Gottfried - 02/26/2009, 05:18 AM
RE: Iteration series - by bo198214 - 02/28/2009, 10:02 AM
RE: Iteration series - by Gottfried - 08/10/2009, 04:16 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Divergent Series and Analytical Continuation (LONG post) Caleb 54 13,284 03/18/2023, 04:05 AM
Last Post: JmsNxn
  Discussion on "tetra-eta-series" (2007) in MO Gottfried 40 9,827 02/22/2023, 08:58 PM
Last Post: tommy1729
Question Tetration Asymptotic Series Catullus 18 6,441 07/05/2022, 01:29 AM
Last Post: JmsNxn
Question Formula for the Taylor Series for Tetration Catullus 8 4,463 06/12/2022, 07:32 AM
Last Post: JmsNxn
  Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 36,397 06/11/2022, 12:24 PM
Last Post: tommy1729
  Calculating the residues of \(\beta\); Laurent series; and Mittag-Leffler JmsNxn 0 1,295 10/29/2021, 11:44 PM
Last Post: JmsNxn
  Trying to find a fast converging series of normalization constants; plus a recap JmsNxn 0 1,235 10/26/2021, 02:12 AM
Last Post: JmsNxn
  Reducing beta tetration to an asymptotic series, and a pull back JmsNxn 2 2,611 07/22/2021, 03:37 AM
Last Post: JmsNxn
  Perhaps a new series for log^0.5(x) Gottfried 3 6,854 03/21/2020, 08:28 AM
Last Post: Daniel
Question Taylor series of i[x] Xorter 12 29,498 02/20/2018, 09:55 PM
Last Post: Xorter



Users browsing this thread: 1 Guest(s)