Does anyone have taylor series approximations for tetration and slog base e^(1/e)?

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Does anyone have taylor series approximations for tetration and slog base e^(1/e)?

Gottfried Offline

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05/20/2011, 07:34 AM

(05/19/2011, 07:49 PM)JmsNxn Wrote: I ask because I want to observe how logarithmic semi-operators behave for bases less than or equal to \( e^{1/e} \).

Hi James,

I'd like to help for this neat idea. However, after my comparision of the four interpolation-methods I do no more trust in the relevance of the "regular-tetration"-powerseries as I used them up to now - so I do not know whether you want possibly waste your time with analysis of that powerseries. Unfortunately I still do not have a clue how the Dmitri Kouznetzov Cauchy-integral-method works at all so I also cannot provide powerseries of that presumably better method.

But if it is just for the fun of exploration/exercise you can well have my Pari/GP-procedures for this. (in that case please contact me via email)

Regards-

Gottfried

Gottfried Helms, Kassel

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Messages In This Thread

Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 05/19/2011, 07:49 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by Gottfried - 05/20/2011, 07:34 AM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 05/20/2011, 06:34 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by andydude - 05/20/2011, 06:43 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 05/26/2011, 03:18 AM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by Gottfried - 05/21/2011, 02:14 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by sheldonison - 05/21/2011, 10:55 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 06/02/2011, 09:37 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by sheldonison - 06/02/2011, 10:27 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 06/02/2011, 11:40 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by sheldonison - 06/03/2011, 12:48 AM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by JmsNxn - 06/05/2011, 06:24 PM

RE: Does anyone have taylor series approximations for tetration and slog base e^(1/e)? - by sheldonison - 06/05/2011, 08:47 PM

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