Algorithms for Indeenite Summation of Rational Functions in Maple Algorithms for Indeenite Summation of Rational Functions in Maple
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Rational Summation and Gosper-petkov Sek Representation Rational Summation and Gosper-petkov Sek Representation
Indeenite summation essentially deals with the problem of inverting the diierence operator : f(X) ! f(X + 1) ? f(X). In the case of rational functions over a eld k we consider the following version of the problem given 2 k(X), determine ; 2 k(X) such that = +, where is as \small" as possible (in a suitable sense). In particular, we address the question what can be said about the denominators of...
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Maple s sum command is a general purpose procedure to calculate di erent types of sums Algorithms for the computation of both inde nite and de nite sums are available Roberto Pirastu gave an excellent overview about rational summation and we take his article as a starting point for ours and thus will not focus on the rational case We will instead discuss three important methods for more general...
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