10/04/2009, 02:56 AM
(This post was last modified: 10/04/2009, 02:57 AM by Kouznetsov.)
(10/04/2009, 01:21 AM)mike3 Wrote: .. So yeah, it fills the strip |Re(z)| <= 0.6 and thus |Re(z)| < 0.6. It gets fairly good accuracy (estimated by residuals where both points z and z-1 lie in that strip, 7-8 decimals past the point I'd guess) even out to z = +/- 0.6 +/- 20i, which is pretty good.Congratulations, Mike!
You have covered all the complex plane!
Now you may fit your approximation with function
F_1(z)=L+exp(Lz+R)
at Im(z)>>1, and evaluate the fundamental mathematical constant R;
let us compare your value to that in my preprint.