tetration from alternative fixed point
#10
(06/27/2010, 10:18 PM)tommy1729 Wrote: is that slog(z) analytic ?
Yes its the regular slog at the secondary fixed point of exp.

Quote:is the related superfunction a superfunction of exp(z) + 2pi i then ?

No, its a superfunction of exp, even an entire one.

Quote:but then it cant be related to the superfunction of exp(z) , can it ?

its related via the Riemann mapping, see the Kneser thread for more details.
Reply


Messages In This Thread
RE: tetration from alternative fixed point - by bo198214 - 06/28/2010, 03:08 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Down with fixed points! Daniel 1 2,793 04/29/2023, 11:02 PM
Last Post: tommy1729
  Semi-group iso , tommy's limit fix method and alternative limit for 2sinh method tommy1729 1 4,634 12/30/2022, 11:27 PM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 72,670 11/27/2022, 06:53 AM
Last Post: JmsNxn
Question The Different Fixed Points of Exponentials Catullus 22 25,041 07/24/2022, 12:22 PM
Last Post: bo198214
  Quick way to get the repelling fixed point from the attracting fixed point? JmsNxn 10 13,211 07/22/2022, 01:51 AM
Last Post: JmsNxn
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 15,322 07/19/2022, 03:18 AM
Last Post: JmsNxn
Question Two Attracting Fixed Points Catullus 4 6,722 07/04/2022, 01:04 PM
Last Post: tommy1729
  Alternative manners of expressing Kneser JmsNxn 1 4,877 03/19/2021, 01:02 AM
Last Post: JmsNxn
  Are tetrations fixed points analytic? JmsNxn 2 11,467 12/14/2016, 08:50 PM
Last Post: JmsNxn
  Derivative of exp^[1/2] at the fixed point? sheldonison 10 37,015 01/01/2016, 03:58 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)