Tetration Forum

Hello everyone,

I'm new to this forum  , I came across it during my research on fractional iteration!

I've derived, which are to my knowledge, new formulas for iteration of invertible power series via Umbral Calculus.

Here is the arxiv link.
I think that the main contribution is a the brevity of the proofs enabled by Umbral Calculus.

Please let me know your thoughts and I'll gladly answer any of your questions.