fractional iterates of arg(z) and |z|
#1
Is it possible to define a function
h(h(z)) = |z|, h(z) =/= |z|

or
h(h(z)) = arg(z)

I wonder because these seem like difficult functions to crack, considering they have no Taylor series.
Reply


Messages In This Thread
fractional iterates of arg(z) and |z| - by JmsNxn - 03/31/2011, 08:28 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Fractional tetration method Koha 2 6,079 06/05/2025, 01:40 AM
Last Post: Pentalogue
  [GEN DYN] Iterates of tanh(A x)^(2m+1) tommy1729 0 2,606 05/22/2023, 10:23 PM
Last Post: tommy1729
  Has anyone studied the iterates of \(\frac{1}{e^{-1/z}}\) Daniel 2 3,325 05/22/2023, 08:56 PM
Last Post: tommy1729
  ChatGPT checks in on fractional iteration. Daniel 0 3,457 05/17/2023, 01:48 PM
Last Post: Daniel
  Bridging fractional iteration and fractional calculus Daniel 8 9,334 04/02/2023, 02:16 AM
Last Post: JmsNxn
  Fractional Integration Caleb 11 14,210 02/10/2023, 03:49 AM
Last Post: JmsNxn
  Discussing fractional iterates of \(f(z) = e^z-1\) JmsNxn 2 4,778 11/22/2022, 03:52 AM
Last Post: JmsNxn
  Fibonacci as iteration of fractional linear function bo198214 48 56,134 09/14/2022, 08:05 AM
Last Post: Gottfried
  The iterational paradise of fractional linear functions bo198214 7 10,106 08/07/2022, 04:41 PM
Last Post: bo198214
  Describing the beta method using fractional linear transformations JmsNxn 5 8,681 08/07/2022, 12:15 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)