11/15/2010, 02:53 PM
(This post was last modified: 11/21/2011, 09:38 PM by sheldonison.)
This is an update to support an sexp(z) mapping for bases<eta. The program starts with the regular entire superfunction developed from the repelling fixed point, and calculates \( \text{sexp}(z)=\text{RegularSuperf}(z+\theta(z)) \), where \( \theta(z) \) decays to zero as imag(z) goes to +I*infinity. Thus the solution for bases<eta differs from the standard solution, developed from the attracting fixed point. See this post for discussion, and graphs.
This version will converge for converge for 1.449<=B<=1000000, and 1.02<bases<1.444. This program is very very slow for bases close to but greater than eta; in those cases, I recommend using "\p 28" for less accurate, but faster results (using 5 iterations). second update, added cosmetic changes, warning message for sexp(imag(z)>i. Converges for B>1.02.
-Sheldon
For the most recent code version: go to the Nov 21st, 2011 thread.
This version will converge for converge for 1.449<=B<=1000000, and 1.02<bases<1.444. This program is very very slow for bases close to but greater than eta; in those cases, I recommend using "\p 28" for less accurate, but faster results (using 5 iterations). second update, added cosmetic changes, warning message for sexp(imag(z)>i. Converges for B>1.02.
-Sheldon
For the most recent code version: go to the Nov 21st, 2011 thread.
