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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#25

12/15/2009, 07:47 AM (This post was last modified: 12/15/2009, 09:11 AM by mike3.)

That's interesting, Ansus. What's

\( \prod_x x^{x^x} \)

?

According to your hypothesis, it should be

\( \prod_x x^{x^x} = C e^{\psi(-3, x) + P(x)} \)

for some polynomial \( P(x) \). Does that work?

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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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