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 some questions about sexp tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 07/01/2010, 10:06 PM (07/01/2010, 09:39 AM)bo198214 Wrote: (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,...` i meant for bases > sqrt(e). « Next Oldest | Next Newest »