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Partial denominator . . .

By et al. Manuel Kauers


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 polynomials are to be distinguished, we call them periodic and aperiodic. The main result is a generalization of a well-known denominator bounding technique for univariate equations to PLDEs. This generalization is able to find all the aperiodic factors of the denominators for a given PLDE

Topics: Rational Solutions
Year: 2010
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
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