08/12/2022, 09:54 PM
(08/12/2022, 05:24 PM)bo198214 Wrote:(08/12/2022, 02:14 AM)tommy1729 Wrote: you got the fixpoints derivatives connection right.
but how do you know both regulars agree ?
They don't, I made a short sketch why it can not in this particular case (or generally for entire functions) from the paper of Karlin&McGregor
just some post ago
yes but that limit is the whole neigbourhood of the second fixpoint.
I mean analytic from say the open interval between 0 and 1.
So when fixpoint 0 and 1 are given
analytic around x belonging to
]0,1[
Im sorry im responsable for some errors miscommunications etc.
I lack time and the ideas are coming fast.
***
Then again hmm
if the regular must be analytic in 0 when taking regular in 0 and similar to the point 1 ...
then I guess we have
analytic in
[0,1[ when expanded in 0.
and
]0,1] when expanded in 1.
and the issue is not analytic continuation.
So that seems like 2 different superfunctions yeah....
maybe
***
I was thinking about fusing the two methods.
But then they are not regular anymore so we loose the semi-group homom probably.
hmmm
***
im thinking ...
Thanks for your efforts anyway.
regards
tommy1729