Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
periodic equation
#1
let f(z) and g(z) be real entire functions.

assuming a solution exists ( criterion ? )

for a given g(x) , all real x and any integer N :

f(x) = f(x + N * (g^2(x^2) + 1) i)

how to solve this ?

are simple pairs of f(x),g(x) known ?


regards

tommy1729
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e JmsNxn 0 347 09/28/2021, 05:44 AM
Last Post: JmsNxn
  A compilation of graphs for the periodic real valued tetrations JmsNxn 1 587 09/09/2021, 04:37 AM
Last Post: JmsNxn
  [MSE] Help on a special kind of functional equation. MphLee 4 1,194 06/14/2021, 09:52 PM
Last Post: JmsNxn
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 2,226 09/09/2019, 10:55 PM
Last Post: tommy1729
Big Grin Logical tetration equation Xorter 0 3,040 02/01/2018, 10:29 PM
Last Post: Xorter
  Periodic analytic iterations by Riemann mapping tommy1729 1 4,673 03/05/2016, 10:07 PM
Last Post: tommy1729
  Some sort equation ... tommy1729 0 3,063 10/15/2015, 12:12 PM
Last Post: tommy1729
  An intresting equation ? Taking squares by equation. tommy1729 0 3,209 05/08/2015, 11:37 PM
Last Post: tommy1729
  Conservation of functional equation ? tommy1729 0 3,183 05/01/2015, 10:03 PM
Last Post: tommy1729
  Is this THE equation for parabolic fix ? tommy1729 5 11,455 04/16/2015, 10:01 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)