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)?

andydude Offline

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05/20/2011, 06:43 PM

That is a really interesting question. First of all, that is one of the bases for which the series expansion of (\exp_b^t(x)) in terms of x is relatively simple with "nice" coefficients, but substituting x=1 (which I think you are talking about) gives a function of t which is not strictly a power series, which makes finding that power series more difficult. Anyways, I believe I have done this before, but I don't have access to my notes right, now, so let me get back to you later today...

Andrew Robbins

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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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