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 complex base tetration program Kouznetsov Fellow Posts: 151 Threads: 9 Joined: Apr 2008 03/01/2012, 12:04 PM Beautiful job, Sheldon! If you put points uniformly at the circle around exp(1/e), then with few points, you can get a good precision evaluating the derivatives of tet_b(z) with respect to b by the Cauchi contour integral. So. you can plot, for example, d tet_b(z) / db, d^2 tet_b(z) / db^2, as functions of z, and make conclusion about the behavior in vicinity of b=exp(1/e). I try to guess the result: As b approaches exp(1/e), the quasiperiods become large; so, all the cut lines at the z plane are far away from zero (and out of the field of your pics). In this sense, in vicinity of b=exp(1/e), there should be no cutlines at all, so, b=exp(1/e) is regular point for the most of values of z. Do your evaluations allow to confirm or to refute such a guess? Is your evaluation for fixed b and various z faster than evaluation for fixed z and varable b? « 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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