Make your own free website on Tripod.com

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

For an alternative derivation see the PDF file

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

 


Copyright 2001-2012 Boris Spokoinyi. All Rights Reserved.