Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Is the half iterate of 2sinh(x) analytic near R ?
#1
Is the half iterate of 2sinh(x) - expanded from fixpoint 0 - analytic near R ?
And does it satisfy its functional equation ( composition towards 2sinh(x) ) wherever it is analytic ( near R ) ?

I know the taylor series is messed up because we have 2 complex conjugate fixpoints.

However a taylor series can converge outside its radius.

This might be a general idea that we need a general tool for.

regards

tommy1729
Reply
#2
Does the taylor series expanded from 0 converge outside its radius ?
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  [repost] A nowhere analytic infinite sum for tetration. tommy1729 0 877 03/20/2018, 12:16 AM
Last Post: tommy1729
Question Analytic matrices and the base units Xorter 2 1,945 07/19/2017, 10:34 AM
Last Post: Xorter
  Does tetration take the right half plane to itself? JmsNxn 7 4,810 05/16/2017, 08:46 PM
Last Post: JmsNxn
  Non-analytic Xorter 0 1,167 04/04/2017, 10:38 PM
Last Post: Xorter
  Half-iteration of x^(n^2) + 1 tommy1729 3 3,364 03/09/2017, 10:02 PM
Last Post: Xorter
  A conjectured uniqueness criteria for analytic tetration Vladimir Reshetnikov 13 9,345 02/17/2017, 05:21 AM
Last Post: JmsNxn
  tommy's simple solution ln^[n](2sinh^[n+x](z)) tommy1729 1 2,081 01/17/2017, 07:21 AM
Last Post: sheldonison
  Uniqueness of half-iterate of exp(x) ? tommy1729 14 12,687 01/09/2017, 02:41 AM
Last Post: Gottfried
  Is bounded tetration is analytic in the base argument? JmsNxn 0 1,089 01/02/2017, 06:38 AM
Last Post: JmsNxn
  Are tetrations fixed points analytic? JmsNxn 2 2,391 12/14/2016, 08:50 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)