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fast accurate Kneser sexp algorithm
#15
(11/15/2010, 02:53 PM)sheldonison Wrote: 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 , where 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<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).
-Sheldon

Smile I can calculate good for base 1.1.
I tried bases 1.01 and 1.001 but I get not big precision and too small precision, respectively.

but good -> http://math.eretrandre.org/tetrationforu...hp?tid=272 - other 1 code for mathematica. Smile
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Messages In This Thread
The pari-GP code - by sheldonison - 08/07/2010, 09:17 PM
updated kneser.gp code - by sheldonison - 08/19/2010, 02:35 AM
RE: updated kneser.gp code - by nuninho1980 - 08/19/2010, 12:08 PM
RE: updated kneser.gp code - by sheldonison - 08/20/2010, 01:05 AM
update to support B<eta - by sheldonison - 11/15/2010, 02:53 PM
RE: update to support B<eta - by nuninho1980 - 11/15/2010, 03:26 PM
another new version - by sheldonison - 11/17/2010, 06:52 PM

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