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arXiv · 0711.3386

Converging to Gosper's Algorithm

William Y. C. Chen·Peter Paule·Husam L. Saad
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Abstract

Given two polynomials, we find a convergence property of the GCD of the rising factorial and the falling factorial. Based on this property, we present a unified approach to computing the universal denominators as given by Gosper's algorithm and Abramov's algorithm for finding rational solutions to linear difference equations with polynomial coefficients.

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William Y. C. Chen, Peter Paule, Husam L. Saad. 2007-11-21. Converging to Gosper's Algorithm. https://arxiv.org/abs/0711.3386

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