Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
closed form for regular superfunction expressed as a periodic function
#30
thus it is complex continuous ??

ive been thinking that entire functions with parabolic fixpoints with n somewhere analytic solutions for their half-iterate are half-iterates of another related function that has exactly n non-parabolic fixpoints an no other fixpoints or exactly n parabolic fixpoints with analytic solutions at their fixpoints and no other fixpoints.

as the relationship between eta^x and e^x - 1.

that would make parabolic fixpoints more logical imho ...

tommy1729
Reply


Messages In This Thread
RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/08/2010, 06:55 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 166 09/09/2019, 10:55 PM
Last Post: tommy1729
  Is there a function space for tetration? Chenjesu 0 260 06/23/2019, 08:24 PM
Last Post: Chenjesu
  Degamma function Xorter 0 733 10/22/2018, 11:29 AM
Last Post: Xorter
  Periodic analytic iterations by Riemann mapping tommy1729 1 2,055 03/05/2016, 10:07 PM
Last Post: tommy1729
  Should tetration be a multivalued function? marraco 17 15,448 01/14/2016, 04:24 AM
Last Post: marraco
  Introducing new special function : Lambert_t(z,r) tommy1729 2 3,352 01/10/2016, 06:14 PM
Last Post: tommy1729
  Natural cyclic superfunction tommy1729 3 2,787 12/08/2015, 12:09 AM
Last Post: tommy1729
Sad Tommy-Mandelbrot function tommy1729 0 1,829 04/21/2015, 01:02 PM
Last Post: tommy1729
  Can sexp(z) be periodic ?? tommy1729 2 3,626 01/14/2015, 01:19 PM
Last Post: tommy1729
  [2014] Uniqueness of periodic superfunction tommy1729 0 1,814 11/09/2014, 10:20 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)