05/13/2009, 11:18 PM

andydude wrote :

i kinda asked this question before - more or less -

see thread :

http://math.eretrandre.org/tetrationforu...hp?tid=270

yes , this is useful in characterizing fractional iterates.

and i believe it is important for some half-iterate questions , though i cant prove it to be for tetration , but im working on it.

regards

tommy1729

(05/13/2009, 09:51 PM)andydude Wrote:(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 , there exists a unique real number t such that ."

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

i kinda asked this question before - more or less -

see thread :

http://math.eretrandre.org/tetrationforu...hp?tid=270

yes , this is useful in characterizing fractional iterates.

and i believe it is important for some half-iterate questions , though i cant prove it to be for tetration , but im working on it.

regards

tommy1729