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 zero's of exp^[1/2](x) ? tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 12/08/2010, 01:39 PM (12/08/2010, 01:09 PM)sheldonison Wrote: (12/08/2010, 01:03 PM)tommy1729 Wrote: -0.36237 + iPi ?? where does this come from ? and what is its closed form ?from my earlier post, sexp(-2.5)~=-0.36237+iPi. Looking at Mike's graph again, the black "zero" is at -0.696. The cutpoint for L is not even visible at 0.318+1.34i, and only becomes visible around -1+1.34i. This gives somewhat of an idea as to how mild the singularity for the half iterate at L is, with a magnitude of a little less than 1 part in 100,000 in the immediate vicinity of L itself. - Sheldon then sexp(-3.5) , sexp(-4.5) , ... sexp(-(2n+1)/2) should all have a singularity because sexp(x-1) = ln(sexp(x)) right ? « Next Oldest | Next Newest »

 Messages In This Thread zero's of exp^[1/2](x) ? - by tommy1729 - 12/04/2010, 12:16 AM RE: zero's of exp^[1/2](x) ? - by JJacquelin - 12/07/2010, 08:53 AM RE: zero's of exp^[1/2](x) ? - by sheldonison - 12/07/2010, 01:03 PM RE: zero's of exp^[1/2](x) ? - by mike3 - 12/08/2010, 02:44 AM RE: zero's of exp^[1/2](x) ? - by sheldonison - 12/08/2010, 10:16 AM RE: zero's of exp^[1/2](x) ? - by tommy1729 - 12/08/2010, 01:03 PM RE: zero's of exp^[1/2](x) ? - by sheldonison - 12/08/2010, 01:09 PM RE: zero's of exp^[1/2](x) ? - by tommy1729 - 12/08/2010, 01:39 PM RE: zero's of exp^[1/2](x) ? - by sheldonison - 12/08/2010, 02:24 PM RE: zero's of exp^[1/2](x) ? - by tommy1729 - 12/29/2015, 01:23 PM mild singularity at L, RE: zero's of exp^[1/2](x) ? - by sheldonison - 12/10/2010, 08:35 PM RE: mild singularity at L, zero's of exp^[1/2](x) ? - by mike3 - 12/11/2010, 09:21 AM RE: zero's of exp^[1/2](x) ? - by tommy1729 - 12/08/2010, 12:32 AM singularities and zero's of (2*sinh)^[1/2](z) ? - by tommy1729 - 02/17/2011, 11:56 PM RE: zero's of exp^[1/2](x) ? - by tommy1729 - 11/14/2012, 05:11 PM

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