periodic ...
#1
i had some ideas relating tetration and superfunctions in general to the following properties :

A) f(z) is Coo and Im f(z) is periodic.

B) f(z) is Coo and Re f(z) is periodic.

C) A) and B) but f(z) is not periodic.

what is known about functions satisfying A) B) or C) ?

anything special about them ?

are there series expansions only valid for such functions ?
Reply


Messages In This Thread
periodic ... - by tommy1729 - 08/09/2010, 08:55 PM
RE: periodic ... - by tommy1729 - 08/11/2010, 04:59 PM
RE: periodic ... - by sheldonison - 08/11/2010, 06:50 PM
RE: periodic ... - by tommy1729 - 08/11/2010, 07:22 PM
RE: periodic ... - by bo198214 - 08/13/2010, 11:07 AM
RE: periodic ... - by tommy1729 - 08/15/2010, 07:25 PM

Possibly Related Threads…
Thread Author Replies Views Last Post
  Periodic analysis of dynamicals systems MphLee 1 4,349 02/21/2023, 05:43 AM
Last Post: JmsNxn
  On the [tex]2 \pi i[/tex]-periodic solution to tetration, base e JmsNxn 0 4,533 09/28/2021, 05:44 AM
Last Post: JmsNxn
  A compilation of graphs for the periodic real valued tetrations JmsNxn 1 5,289 09/09/2021, 04:37 AM
Last Post: JmsNxn
  Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 6,163 09/09/2019, 10:55 PM
Last Post: tommy1729
  Periodic analytic iterations by Riemann mapping tommy1729 1 9,723 03/05/2016, 10:07 PM
Last Post: tommy1729
  Can sexp(z) be periodic ?? tommy1729 2 15,762 01/14/2015, 01:19 PM
Last Post: tommy1729
  [2014] Uniqueness of periodic superfunction tommy1729 0 7,620 11/09/2014, 10:20 PM
Last Post: tommy1729
  almost periodic musing tommy1729 1 8,450 06/17/2014, 12:24 PM
Last Post: tommy1729
  periodic equation tommy1729 0 7,417 07/18/2011, 11:13 PM
Last Post: tommy1729
  Periodic functions that are periodic not by addition JmsNxn 0 7,196 04/17/2011, 09:54 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)