Manuel Kauers, Carsten Schneider,
"Partial Denominator Bounds for Partial Linear Difference Equations"
, in Stephen Watt: Proceedings of ISSAC'10, Seite(n) 211--218, 2010, ISBN: 978-1-4503-0150-3
Partial Denominator Bounds for Partial Linear Difference Equations
Sprache des Titels:
Proceedings of ISSAC'10
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.