Timeline for Natural candidates for sub-half-exponential which limit to half-exponential function from below

8 events

when toggle format	what		by	license	comment
Jun 29, 2020 at 19:12	comment	added	VS.		I think your argument works only for finite $k$.
Jun 29, 2020 at 18:20	comment	added	VS.		It is not clear whether 'suggests' is a formal proof since induction works for every finite $k<\infty$. What we have is a limit and I think we need to describe how fast we approach the goal to be formal. Is what you have a formal proof or just an intuition that is intended to be extrapolated somehow?
Jun 29, 2020 at 18:17	comment	added	Gerald Edgar		My argument suggests that the limit when $k \to \infty$ is still far short of half-exponential.
Jun 29, 2020 at 18:12	comment	added	VS.		Ok so at $k\rightarrow\infty$ we will get half-exponential?
Jun 29, 2020 at 14:15	comment	added	Gerald Edgar		We use $a>1$ so $an>n$. So $an < n^a < \exp((\log n)^a) < \exp(\exp((\log\log n)^a))$ and so on (for large $n$).
Jun 29, 2020 at 13:37	history	edited	Gerald Edgar	CC BY-SA 4.0	added 2 characters in body
Jun 29, 2020 at 13:30	comment	added	VS.		So $f(k,a,n)$ is not a sub half exponential function that approaches the half exponentials in the limit from below in limit $k\rightarrow\infty$? Instead of $2$ anything larger than $1$ is fine. I meant $n$ grows and so being complex is not considered.
Jun 29, 2020 at 13:24	history	answered	Gerald Edgar	CC BY-SA 4.0