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 complex base tetration program Gottfried Ultimate Fellow Posts: 763 Threads: 118 Joined: Aug 2007 02/06/2016, 05:36 PM (This post was last modified: 02/06/2016, 07:27 PM by Gottfried.) [update] Ah, got it working with Pari/GP v. 2.7 in a winxp-32bit virtual machine. Great, so I can recompute my example in MSE. I'll look for the incompatibility reasons and shall tell them later.[/update] Here is the comparision of the regular/Schröder-solution and the (extended/generalized) Kneser-mechanism (see bottom of posting). (This is the link to the discussion in MSE : http://math.stackexchange.com/questions/...ing-us-all ) ------------------------------------------------------- Hi Sheldon - this is what I've done and what I've got with the just-downloaded fatou.gp: (this is the old Pari/GP 2.2.11-version) Code:```\r f:\download\fatou.gp     seriesprecision = 21 significant terms    format = g0.15 help(); help2(); andrewjay(); for other functions \p 38  /* precis=38; 32-35 digits.  default \p 28 ~=24 decimal digits; */ /* generates Abel function for iterating z <= exp(z)-1+k; f(z) */ loop(k,nlim,nskip,looplim); sexpinit(b); /* b=exp(exp(k-1)); */ loop(1);  sexpinit(exp(1));  /* two examples for tetration for base e */ slog(z); sexp(z); abel(z); invabel(z,est); sexptaylor(center,radius,samples); slogtaylor(c,r,s); invabeltaylor(c,r,s); abeltaylor(c,r,s); fmode=0:abel  1:invabel  2:slog  3:sexp MakeGraph(width,height,x0,y0,x1,y1,filename, n); /* f(z); fmode */ debugprint=0; quietmode=0; x2mode=0; /* x2mode=1; iterate z^2+z+k */ prtpoly(wtaylor,t,name); setmaxconvergence(); /* base i is hard to compute */ thlogk=1; ctr=19/20; ir=57/64; ctfactor=85/100; disabautoctfactor=1; staylorstop=40; sexpinit(I);     seriesprecision = 21 significant terms    format = g0.15 1 0.474349095548301 0.0458093729068993 23 4 20 2 0.236926728615837 0.409974883179566 41 6 40 3 3.91014217666629 E144 4.33918410729562 E143 61 7 60   *** vector: negative number of components in vector. sexp(0.5)    *** if: incorrect type in comparison.``` Attached Files Image(s)     Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread complex base tetration program - by sheldonison - 02/29/2012, 10:28 PM RE: complex base tetration program - by Kouznetsov - 02/29/2012, 11:49 PM RE: complex base tetration program - by sheldonison - 03/01/2012, 12:09 AM RE: complex base tetration program - by sheldonison - 03/01/2012, 10:34 AM RE: complex base tetration program - by Kouznetsov - 03/01/2012, 12:04 PM RE: complex base tetration program - by sheldonison - 03/01/2012, 03:47 PM RE: complex base tetration program - by sheldonison - 03/02/2012, 09:20 AM RE: complex base tetration program - by sheldonison - 03/07/2012, 12:08 AM RE: complex base tetration program - by sheldonison - 03/07/2012, 06:08 PM RE: complex base tetration program - by sheldonison - 03/08/2012, 09:51 PM RE: complex base tetration program - by mike3 - 03/10/2012, 06:59 AM RE: complex base tetration program - by sheldonison - 03/10/2012, 08:53 PM RE: complex base tetration program - by mike3 - 03/11/2012, 12:27 AM RE: complex base tetration program - by sheldonison - 03/12/2012, 04:20 AM RE: complex base tetration program - by sheldonison - 03/16/2012, 07:42 PM RE: complex base tetration program - by Gottfried - 02/06/2016, 01:37 AM RE: complex base tetration program - by sheldonison - 02/06/2016, 04:04 PM RE: complex base tetration program - by Gottfried - 02/06/2016, 05:36 PM RE: complex base tetration program - by Gottfried - 02/07/2016, 05:27 AM RE: complex base tetration program - by sheldonison - 02/07/2016, 12:28 PM RE: complex base tetration program - by Gottfried - 02/07/2016, 01:25 PM RE: complex base tetration program - by Gottfried - 10/24/2016, 11:50 PM RE: complex base tetration program - by sheldonison - 10/26/2016, 08:01 AM RE: complex base tetration program - by Gottfried - 10/26/2016, 10:02 AM

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