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CORR
2010
Springer
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13 years 5 months ago
Partial Denominator Bounds for Partial Linear Difference Equations
We investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation (PLDE). Two kinds of polynom...
Manuel Kauers, Carsten Schneider
CASC
2007
Springer
114views Mathematics» more  CASC 2007»
13 years 9 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek
EVOW
1999
Springer
13 years 9 months ago
Evolution of Digital Filters Using a Gate Array Model
The traditional paradigm for digital filter design is based on the concept of a linear difference equation with the output response being a weighted sum of signal samples with usua...
Julian F. Miller