Transseries, nest-series, and other exotic series representations for tetration

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Transseries, nest-series, and other exotic series representations for tetration

mike3

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#21

12/14/2009, 09:22 PM

(12/14/2009, 03:16 PM)bo198214 Wrote: Mike, I have another bad news, I found out that not even the Faulhaber sum of \( e^{\frac{x^2}{2}} \) is convergent, contrary to what I said before because it looks convergent up to n=100 terms; so your transseries sum \( e^{e^x} \) can not be convergent.

How does that refute the summation I gave with the transseries? That involves continuum-summing on terms of the form \( ae^{nx} \), not \( ae^{nx^2} \) or \( ae^{x^n} \) or something like that.

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Messages In This Thread

Transseries, nest-series, and other exotic series representations for tetration - by mike3 - 11/26/2009, 09:46 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by Daniel - 11/26/2009, 03:57 PM

RE: Transseries, nest-series, and other exotic series representations for tetration - by bo198214 - 11/26/2009, 04:42 PM

RE: Transseries, nest-series, and other exotic series representations for tetration - by Daniel - 11/29/2009, 09:09 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by bo198214 - 11/29/2009, 09:38 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by Daniel - 12/01/2009, 02:56 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by bo198214 - 12/01/2009, 09:08 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by tommy1729 - 12/01/2009, 10:22 PM

RE: Transseries, nest-series, and other exotic series representations for tetration - by mike3 - 11/27/2009, 01:29 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by andydude - 11/28/2009, 04:56 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by mike3 - 11/28/2009, 06:36 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by mike3 - 11/28/2009, 06:50 AM

RE: Transseries, nest-series, and other exotic series representations for tetration - by kobi_78 - 12/14/2009, 07:17 PM

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