07/08/2010, 11:31 PM

for parabolic iteration i use the carleman matrix method.

what other methods exist ?

bo mentioned " levy and ecalle " but i dont know about their parabolic iteration formula's ...

one can get many series expansions from the carleman matrix method , but i would like to see " totally different from carleman methods ".

in fact i would like to see a limit like superfunction type of solution to parabolic iteration , something similar to koenigs non-parabolic iteration solution.

does there exist a method for all fixpoints ( parabolic or non-parabolic ) in terms of a limit , not using carleman ?

im sorry , i tried looking on the internet , but found nothing apart from stuff that is equivalent to carleman ...

if i recall correct , koenigs is not necc analytic. are there similar methods that only work when the solution is analytic ?

sorry , im a number theorist getting old

regards

tommy1729

what other methods exist ?

bo mentioned " levy and ecalle " but i dont know about their parabolic iteration formula's ...

one can get many series expansions from the carleman matrix method , but i would like to see " totally different from carleman methods ".

in fact i would like to see a limit like superfunction type of solution to parabolic iteration , something similar to koenigs non-parabolic iteration solution.

does there exist a method for all fixpoints ( parabolic or non-parabolic ) in terms of a limit , not using carleman ?

im sorry , i tried looking on the internet , but found nothing apart from stuff that is equivalent to carleman ...

if i recall correct , koenigs is not necc analytic. are there similar methods that only work when the solution is analytic ?

sorry , im a number theorist getting old

regards

tommy1729