Re: " f^ [n](x) = exp( n/ phi' (x) D ) o x "



In article <1146730482.691252.6670@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<"alainverghote@xxxxxxxx"> wrote:

Any Idea ?

Thanx , Alain


Perhaps if you write it very carefully, so that it makes sense, there
would be something to say. In particular, state precisely what D is
and what x is. Maybe write it down in the particular case
f(x) = 2x, phi(x)=log_2(x). I have a feeling it is a version
of the formula exp(aD)(g)(x) = g(x+a) which is a symbolic
way of writing the Taylor series.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.



Relevant Pages

  • Re: " f^ [n](x) = exp( n/ phi (x) D ) o x "
    ... " a feeling it is a version ... way of writing the Taylor series. ... Amitiés, Alain ...
    (sci.math)
  • Re: Why I Love Michael Thames
    ... I've added some wonderful Weiss pieces to my repertoire. ... I have this feeling I'm nowhere close to enlightenment, ... so I probably will see Alain as Alain. ...
    (rec.music.classical.guitar)
  • Re: Musical English (chords)
    ... is rather Sermisy-like, and for some time I was feeling ... a little guilty about that. ... But Alain, the music works just fine, and Sermisy is an admirable ...
    (rec.music.theory)
  • Re: " f^ [n](x) = exp( n/ phi (x) D ) o x "
    ... exp(n/ phi' (x) D) o x with a very simple ... way of writing the Taylor series. ... Amitiés, Alain ...
    (sci.math)