07/06/2022, 07:37 PM
(07/06/2022, 03:46 PM)Daniel Wrote: How can an analytic function grow as fast as tetration? For example the tetrates of 4,
\( ^n 4 \).
Is the following identity valid?
\( \sum_{k=0}^{\infty} \, a_{2,k} \ z^k=\sum_{m=2}^{\infty} \ \sum_{k=0}^{\infty}b_{m,k} \ z\rightarrow k \rightarrow m \)
Ya, tetration is analytic... what do you mean? That's all we work on here...?
That identity makes no sense, what are the coefficients, what do you mean? If they're taylor polynomials of tetration,pentation, etc... about where? And furthermore, it's highly improbable that series even converges, let alone equals the one on the left.
What are you getting at?
