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Minimal universal denominators for linear difference equations
Authors:Qing-Hu Hou
Affiliation:Center for Combinatorics, LPMC-TJKLC , Nankai University , Tianjin, 300071, P.R. China
Abstract:We provide minimal universal denominators for linear difference equations with fixed leading and trailing coefficients. In the case of first-order equations, they are factors of Abramov's universal denominators. While in the case of higher order equations, we show that Abramov's universal denominators are minimal.
Keywords:linear difference equation  universal denominator  Abramov's universal denominator  minimal universal denominator
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