Tommy's Gaussian method.

[tommy1729]

I forgot to mention 

To avoid the use of constants for the gaussian method we can " anchor " the point 0 :

We use this modification 

f(s) = exp( R(s-1) f(s-1) )

Now R(s) = t(s) erf(s)^2 = (1 + erf(s))/2 * erf(s)^2.

So that R(s) = 0 when s = 0.

Therefore 

f(1) = exp(0 * ..) = 1.

This helps numerically and theoretically , however R(s) is slightly more complicated.

But R(s) behaves similar on the complex plane as t(s) so it works.


Extending this idea is worth considering.


But at least 

sexp(s-1) = lim ln^[n] f(s + n) 

where sexp(0) = 1.


regards

tommy1729

Tom Marcel Raes