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some questions about sexp

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some questions about sexp
tommy1729 Offline
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#5
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).
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Messages In This Thread
some questions about sexp - by tommy1729 - 06/28/2010, 11:18 PM
RE: some questions about sexp - by tommy1729 - 06/29/2010, 10:55 PM
RE: some questions about sexp - by bo198214 - 07/01/2010, 09:39 AM
RE: some questions about sexp - by mike3 - 07/01/2010, 11:05 AM
RE: some questions about sexp - by bo198214 - 07/02/2010, 07:14 AM
RE: some questions about sexp - by tommy1729 - 07/01/2010, 10:06 PM
RE: some questions about sexp - by mike3 - 07/01/2010, 10:28 PM
RE: some questions about sexp - by bo198214 - 07/02/2010, 07:17 AM
RE: some questions about sexp - by mike3 - 07/02/2010, 07:55 AM
RE: some questions about sexp - by tommy1729 - 07/02/2010, 12:27 PM
RE: some questions about sexp - by sheldonison - 07/02/2010, 03:52 PM
RE: some questions about sexp - by tommy1729 - 07/05/2010, 09:59 PM
RE: some questions about sexp - by sheldonison - 07/06/2010, 01:45 PM

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