• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 sexp for base (1/e)^e ~= 0.0660? mike3 Long Time Fellow Posts: 368 Threads: 44 Joined: Sep 2009 11/22/2013, 11:20 PM Interesting. It'd be nice to see if these results could be reproduced with the Kouznetsov/HAM technique, but I'm still playing with it. One of the things (which I should mention when I post more details in that thread) is that the HAM requires the choice of an "auxiliary linear operator", and the choice of that auxiliary linear operator is determined by the form in which we express the solution of the integral equation to be solved (in this case the Kouznetsov Cauchy equation). I was able to get some convergence for other bases using a linear operator given by the identity, but convergence was not very good, taking a fair number of iterations just to get a single digit of convergence. It would be interesting to see if there are methods to speed the covergence. From what I've read, the choice of linear operator is important and can affect the speed of covergence, and I'm not sure on what the right "form to express the solution" (the "rule of solution expression") is. I'll post about this on the HAM thread. « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Sexp redefined ? Exp^[a]( - 00 ). + question ( TPID 19 ??) tommy1729 0 1,798 09/06/2016, 04:23 PM Last Post: tommy1729 Can sexp(z) be periodic ?? tommy1729 2 4,193 01/14/2015, 01:19 PM Last Post: tommy1729 pseudo2periodic sexp. tommy1729 0 1,983 06/27/2014, 10:45 PM Last Post: tommy1729 [2014] tommy's theorem sexp ' (z) =/= 0 ? tommy1729 1 3,102 06/17/2014, 01:25 PM Last Post: sheldonison Multiple exp^[1/2](z) by same sexp ? tommy1729 12 15,100 05/06/2014, 10:55 PM Last Post: tommy1729 entire function close to sexp ?? tommy1729 8 10,344 04/30/2014, 03:49 PM Last Post: JmsNxn Is sexp(z) pseudounivalent for Re(z) > 0 ? tommy1729 3 3,773 03/26/2014, 01:24 PM Last Post: tommy1729 Vincent's theorem and sin(sexp) ? tommy1729 0 1,884 03/22/2014, 11:46 PM Last Post: tommy1729 tetration base conversion, and sexp/slog limit equations sheldonison 44 60,219 02/27/2013, 07:05 PM Last Post: sheldonison sexp by continuum product ? tommy1729 6 9,250 06/30/2011, 10:07 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)