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 superexponential below -2 bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 05/10/2008, 09:31 AM I just made some pictures of real and imaginary part of $\text{slog}_{sqrt{2}}$ below -2. The parts below -2 are just computed by taking logs of the part in -2..-1 which is computed by iterational regular iteration. But this coincides with directly computing the super exponential below -2 via the iterational regular iteration. Here the real part:     Here the imaginary part:     Of course this is only one branch, of the many possible while whirling/analytically continuing around all the singularities at the negative integers. As we have the symmetry $\text{sexp}(\overline{z})=\overline{\text{sexp}(z)}$ except on the cut line, which is the real axis below -2, if we approach say -2.5 from below we get the negative imaginary value. « Next Oldest | Next Newest »

 Messages In This Thread superexponential below -2 - by bo198214 - 05/10/2008, 09:31 AM RE: superexponential below -2 - by andydude - 05/13/2008, 08:37 AM RE: superexponential below -2 - by Ivars - 05/13/2008, 08:00 PM RE: superexponential below -2 - by andydude - 05/14/2008, 01:37 AM RE: superexponential below -2 - by Ivars - 05/15/2008, 06:45 AM RE: superexponential below -2 - by bo198214 - 05/15/2008, 11:33 AM RE: superexponential below -2 - by Ivars - 05/26/2008, 12:37 PM RE: superexponential below -2 - by GFR - 05/26/2008, 07:54 PM RE: superexponential below -2 - by Kouznetsov - 05/27/2008, 12:32 AM RE: superexponential below -2 - by GFR - 05/27/2008, 01:09 PM

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