| I generated those formulas using Euler-Maclaurin summation method: |
 |
| Where: |  |
, |  |
is i'th derivative of function f at n, and |  |
where k is constant |
For an alternative derivation see the PDF file
Summation formulas
After many searches I couldn't find a single page containing summation formulas for polynomials of order greater than 4. Here is my contribution, with polynomials of order up to 10 in GIF / WMF formats and up to 100 in ASCII text.
| I generated those formulas using Euler-Maclaurin summation method: |
|
| Where: | |
, | |
is i'th derivative of function f at n, and | |
where k is constant |
 |
Download the above image in
WMF (vector graphic) file which could be opened in Word, Corel Draw and many
other programs.
Download text file with
factored and
expanded formulas for polynomials up to power 100
Download Maple 7
code that generated the formulas.
Download a
PDF file with alternative general
derivation