Mathematics – Classical Analysis and ODEs
Scientific paper
2007-11-21
Mathematics
Classical Analysis and ODEs
13 pages
Scientific paper
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.
Chen William Y. C.
Paule Peter
Saad Husam L.
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