Arguments for the beta method not being Kneser's method

[JmsNxn]

James, vacationing; can't add any more calculations for a few days.  The key question seems to be whether the resultant Tetration function converges everywhere  in the complex plane if 0<|Im(z)|<pi, especially near where Beta(z+2)=1, |Beta(z+1)| is small.

I HAVE A STUPENDOUS UPDATE FOR YOU SHELDON

I've gotten 1E-18 in the taylor series in a neighborhood of 1!!!!!!

That is I've gotten exp(func(-0.5)) - func(0.5) = 1E-18 where func is a 100 term taylor series!!!!!!!!

I AM SO EXCITED!!!!

I think I fixed my taylor series. 64 bit pari is so much goddamn better!

Rregards, James

Have a great vacation! Have a pina colada on me!