iteration of fractional linear functions

[bo198214]

well actually many such papers are written regularly.

regularly maybe a bit of exaggeration, isnt it? How can one find news about a restricted topic on a regular basis?

in your pdf , you find an answer to a question , you asked me recently.

more particular , i said polynomials of degree 2 have no iterate root from C to C.

you asked " why " and " are you sure "

Help my memory, where did you ask that?
On the other hand its not that surprising that they have no entire iterative root. Similar to that it has no entire arithmetic root.
But as soon as we remove a suitable cut from the complex plane, it has iterative as well as arithmetic roots.

well ref 12 in the pdf is why

I already posted that reference two months ago on this forum here.

simple.
...
trivial.

Well I guess from many problems one can pick easy particular cases.
Actually fractional iteration refers to a formula for any (fractional) iteration count, not just 1/2.
As long as you restrict yourself to simple cases, you may not need advanced methods.