On the Gosper-Petkovsek Representation of Rational Functions
William Y. C. Chen and Husam L. Saad
Abstract: We show that the uniqueness of the Gosper-Petkov·sek representation of rational func-
tions can be utilized to give a simpler version of Gosper's algorithm. This approach
also applies to Petkov·sek's generalization of Gosper's algorithm, and its q-analogues by
Abramov-Paule-Petkov·sek and BÄoing-Koepf.