- #1
zetafunction
- 391
- 0
is the following formula of integration by parts
[tex] \int_{-\infty}^{\infty}dxf(x)D^{n}g(x) = (-1)^{n} \int_{-\infty}^{\infty}dxg(x)D^{n}f (x) [/tex]
valid for real or non-integer n? the problem i see here is the term [tex](-1)^{n} [/tex] , which may be not so well defined for non-integer 'n'
[tex] \int_{-\infty}^{\infty}dxf(x)D^{n}g(x) = (-1)^{n} \int_{-\infty}^{\infty}dxg(x)D^{n}f (x) [/tex]
valid for real or non-integer n? the problem i see here is the term [tex](-1)^{n} [/tex] , which may be not so well defined for non-integer 'n'