Partial Denominator Bounds for Partial Linear Difference Equations
Symbolic Computation
2010-05-05 v1
Abstract
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.
Cite
@article{arxiv.1005.0602,
title = {Partial Denominator Bounds for Partial Linear Difference Equations},
author = {Manuel Kauers and Carsten Schneider},
journal= {arXiv preprint arXiv:1005.0602},
year = {2010}
}