04/12/2017, 02:29 PM
I have a really strange f function (that I would like to take into Carleman matrices) so I need the derivative of its powers. We have just know about the function that:
\( \int f dx = F \)
\( {dF \over dx} = f \)
\( {df \over dx} = a/F \) where a is a constant.
I am interested in the following expression:
\( {d^N \over dx^N} f^M = ? \)
A recursive formula is not the best, but really enough. Not to be in PARI/gp is not the best, but enough.
(It is important for me to invastigate the infinite Taylor series with argument infinity.)
\( \int f dx = F \)
\( {dF \over dx} = f \)
\( {df \over dx} = a/F \) where a is a constant.
I am interested in the following expression:
\( {d^N \over dx^N} f^M = ? \)
A recursive formula is not the best, but really enough. Not to be in PARI/gp is not the best, but enough.
(It is important for me to invastigate the infinite Taylor series with argument infinity.)
Xorter Unizo