general form of a n-derivative
- To: mathgroup at smc.vnet.net
- Subject: [mg71542] general form of a n-derivative
- From: Wiso <giurrerotipiacerebbe at hotmailtipiacerebbe.itipiacerebbe>
- Date: Wed, 22 Nov 2006 05:22:23 -0500 (EST)
- Organization: TIN.IT (http://www.tin.it)
Hi, I have this function:
\!\(f[x_] := Exp[\(-1\)/\((1 - x\^2)\)]\)
and these:
\!\(f\_n_[x_] := D[f[x], {x, n}]\)
the n-derivative. I try to evaluate some of these:
\!\(Table[FullSimplify[f\_i[x]], {i, 0, 5}]\ // TableForm\)
now I want to infer the general form with Mathematica(I think somethink
like:
(-1)^(2 n) (Exp[1/(1-x^2)])^(2 n) P(x), where P(x) is a poly in x). Some
ideas?
- Follow-Ups:
- Re: general form of a n-derivative
- From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
- Re: general form of a n-derivative