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12

CORR
2010
Springer

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Partial Denominator Bounds for Partial Linear Difference Equations

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Partial Denominator Bounds for Partial Linear Difference Equations

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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. Categories and Subject Descriptors

Manuel Kauers, Carsten Schneider

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CORR 2010 | Education | Linear Difference Equation | Polynomials | Rational Solutions |

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Added	09 Dec 2010
Updated	09 Dec 2010
Type	Journal
Year	2010
Where	CORR
Authors	Manuel Kauers, Carsten Schneider

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