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tetration base conversion, and sexp/slog limit equations
#34
I'm adding a graphs of sexp eta.upper, at the real axis and at imaginary=1. This is the same as Jay's cheta function. The function was shifted so that . I started with f(x) is approximately e*(1-(1/2x)), as x goes to -infinity, and optimized further by replacing x with a polynomial. I got this from the http://en.citizendium.org/wiki/Tetration web page. Anyway, taking the iterated of converges nicely at the real axis due to super exponential growth, but may not converge in the complex plane. At imaginary=1, the function gradually grows towards a real value of "e", as x goes to (imag=1, real=infinity).
[Image: eta_upper_at_ieq0.gif]
[Image: eta_upper_at_ieq1.gif]
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Messages In This Thread
RE: Summay tetration base conversion, and sexp/slog limit equations - by sheldonison - 08/01/2009, 10:32 AM
Is it analytic? - by sheldonison - 12/22/2009, 11:39 PM

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