Poll: do you think this thread is important ?This poll is closed. yes 33.33% 1 33.33% no 33.33% 1 33.33% maybe 33.33% 1 33.33% Total 3 vote(s) 100%
 * You voted for this item.

• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 meromorphic idea andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 05/13/2009, 09:51 PM (This post was last modified: 05/13/2009, 09:55 PM by andydude.) (05/13/2009, 04:52 PM)tommy1729 Wrote: are there meromorphic functions f(x) so that they commute with exp(x) ? I'm not sure if this is important, but I think what is important is whether or not: "For all f(x) that satisfy $f(\exp(x)) = \exp(f(x))$, there exists a unique real number t such that $f(x) = \exp^t(x)$." I'm not convinced that this is always true for holomorphic/meromorphic functions. I'm sure its false for for arbitrary (or piecewise-defined) functions. I also think this would be useful in characterizing fractional iterates. Andrew Robbins « Next Oldest | Next Newest »

 Messages In This Thread meromorphic idea - by tommy1729 - 05/13/2009, 04:52 PM RE: meromorphic idea - by andydude - 05/13/2009, 09:51 PM RE: meromorphic idea - by tommy1729 - 05/13/2009, 11:18 PM

 Possibly Related Threads... Thread Author Replies Views Last Post (draft) integral idea tommy1729 0 2,249 06/25/2011, 10:17 PM Last Post: tommy1729 simple idea ... tommy1729 4 5,441 04/29/2009, 05:38 PM Last Post: bo198214 a vague idea for f(f(x)) = exp(x) tommy1729 0 2,096 03/17/2009, 11:24 PM Last Post: tommy1729 Uniqueness summary and idea bo198214 13 16,320 08/16/2007, 10:30 PM Last Post: jaydfox

Users browsing this thread: 1 Guest(s)