• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 some questions about sexp bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 07/01/2010, 09:39 AM (06/28/2010, 11:18 PM)tommy1729 Wrote: (question 1) does the following hold : d f^n / d x^n sexp(slog(x) + k) > 0 for all positive integer n and all positive real k ? Though tempting for uniqueness this seems not to be the case, the half iterate of exp(x)-1 (which is conjugate to $e^{x/e}$) has the following powerseries coefficients at 0: Code:`0, 1, 1/4, 1/48, 0, 1/3840, -7/92160, 1/645120,...` « Next Oldest | Next Newest »