(10/18/2022, 06:13 AM)Shanghai46 Wrote: So, we saw in the previous part a formula which can be used to calculate half (or even complex) iteration of any function which converge. (it doesn't work if it doesn't)
...
Anyway, tell me what you think!
At first reading your approach appears to be valid. I know because it was the first approach I developed. I suspect others here are likewise familiar. Currently there are about half a dozen good approaches to extending tetration.
A major problem with tetration is that without wide exposure, folks reinvent the same thing over and over. One of the major papers on tetration is named Exponentials Reiterated, due to this reinvention.
Daniel

