Searching for an asymptotic to exp[0.5]

[tommy1729]

My friend mick used fake function theory at MSE, so I guess maybe I should share it here :


https://math.stackexchange.com/questions...0-a-n-asym

@MISC {4724883,
    TITLE = {\(O(\exp(\ln(x) \ln(\ln(x))^2)) = \sum_{n=0}^{\infty} a_n x^n\) and \(0 < a_n\) asymptotics?},
    AUTHOR = {mick (https://math.stackexchange.com/users/39261/mick)},
    HOWPUBLISHED = {Mathematics Stack Exchange},
    NOTE = {URL:https://math.stackexchange.com/q/4724883 (version: 2023-06-24)},
    EPRINT = {https://math.stackexchange.com/q/4724883},
    URL = {https://math.stackexchange.com/q/4724883}


https://math.stackexchange.com/a/4724883

If anyone can improve it or show how good or bad it is plz do so.

I have not tried all methods we have here for the problem.

I might come back to that.

If anyone wants more details of what he wrote or has questions I can probably explain.
I checked and his computation is correct.

Wonder about the integral methods.

regards

tommy1729