Hi,

Wasn't too sure where to post this so feel free to move.

If

$\displaystyle

\int x^MK(x)dx\not=0

$

and

$\displaystyle \int x^mK(x)dx=0$

where m = 1,2,3......M-1

Show that the formula

$\displaystyle K_{[M+2]}(x)=\frac{3}{2}K_{[M]}(x)+\frac{1}{2}xK'_{[M]}(x)$.

Produces K of order M+2

and now

$\displaystyle

\int x^{M+2}K(x)dx\not=0

$

Any help appreciated cos I don't have a clue where to begin.