attracting fixed point lemma
#5
(11/15/2010, 12:40 PM)sheldonison Wrote: Well, I have results for sqrt(2), and, its a different sexp(z) base sqrt(2) function than any of the four functions described in Henryk and Dimitrii's paper! The new sexp(z) function was calculated as a 1-cyclic mapping of the regular superfunction developed from the repelling upper fixed point of 4, where all of the terms of the \( \theta(z) \) decay to zero as imag(z) goes to +I*infinity.

This is really amazing. I guess I have again to become familiar with your way of computing what you call "Kneser mapping".
Reply


Messages In This Thread
attracting fixed point lemma - by sheldonison - 09/14/2010, 04:00 PM
new sexp(z) function for sqrt(2) - by sheldonison - 11/15/2010, 12:40 PM
RE: new sexp(z) function for sqrt(2) - by bo198214 - 06/03/2011, 05:22 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Down with fixed points! Daniel 1 2,942 04/29/2023, 11:02 PM
Last Post: tommy1729
  Iteration with two analytic fixed points bo198214 62 76,169 11/27/2022, 06:53 AM
Last Post: JmsNxn
Question The Different Fixed Points of Exponentials Catullus 22 26,234 07/24/2022, 12:22 PM
Last Post: bo198214
  Quick way to get the repelling fixed point from the attracting fixed point? JmsNxn 10 13,757 07/22/2022, 01:51 AM
Last Post: JmsNxn
  Apropos "fix"point: are the fractional iterations from there "fix" as well? Gottfried 12 15,974 07/19/2022, 03:18 AM
Last Post: JmsNxn
Question Two Attracting Fixed Points Catullus 4 7,035 07/04/2022, 01:04 PM
Last Post: tommy1729
  tetration from alternative fixed point sheldonison 22 89,713 12/24/2019, 06:26 AM
Last Post: Daniel
  Are tetrations fixed points analytic? JmsNxn 2 11,635 12/14/2016, 08:50 PM
Last Post: JmsNxn
  Derivative of exp^[1/2] at the fixed point? sheldonison 10 37,701 01/01/2016, 03:58 PM
Last Post: sheldonison
  [MSE] Fixed point and fractional iteration of a map MphLee 0 6,561 01/08/2015, 03:02 PM
Last Post: MphLee



Users browsing this thread: 1 Guest(s)