08/12/2009, 01:31 AM
(This post was last modified: 08/12/2009, 01:47 AM by sheldonison.)

(08/11/2009, 09:12 PM)jaydfox Wrote: .....Is this sexp_e(z) base change formula from base sexp_eta (cheta), or sexp(z) from Andrew's matrix? Or sexp(z) base eta??

First up is sexp(z), using the first 128 terms, where the magnitude of z is 0.455, and the argument is varied through -pi to pi:

Earlier in this post you wrote "As has been discussed elsewhere, my change of base formula allows one to find fractional iterations of exponentiation for real bases greater than eta, provided one sticks to the reals. Well, in order to find complex values...."

That seems to indicate this is sexp_e(z) computed from sexp_eta via base change. Assuming that this is sexp_e(z) in the complex plane, how large a value of "k" are you using for the iterated exponent/logarithms?

Oh, I get it, you're using the well defined function base change function at the real axis only, for sexp_e(z). And then your using those real values to generate the taylor series???? And graphing that taylor series in the complex plane?

- Shel