Work

Partial Denominator Bounds for Partial Linear Difference Equations

Year: 2010

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1005.0602

Authors: Kauers, Manuel, Schneider, Carsten

Institutions: Johannes Kepler University of Linz, Kepler Universitätsklinikum

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Austrian Science Fund

Awards: Symbolic Summation in Perturbative Quantum Field Theory, Symbolic Integration and Special Functions, Fast Computer Algebra for Special Functions

OpenAlex ID: W2951903757

Cites: 5

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Related to: 20