A Formula for the General Solution of a Constant-coefficient Difference Equation

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dc.contributor.authorWolfram, David
dc.date.accessioned2015-12-13T23:20:48Z
dc.date.issued2000
dc.date.updated2015-12-12T09:04:42Z
dc.description.abstractWe give a formula for the general solution of a d th-order linear difference equation with constant coefficients in terms of one of the solutions of its associated homogeneous equation. The formula neither uses the roots of the characteristic equation nor their multiplicities. It can be readily generalized to the case where the domain of the difference equation is the real numbers, and the initial values are given by a function defined on the interval [0,d ). In both cases, we express the general solution of the difference equation in terms of a single solution of its associated homogeneous equation at integer arguments.
dc.identifier.issn0747-7171
dc.identifier.urihttp://hdl.handle.net/1885/90879
dc.publisherAcademic Press
dc.sourceJournal of Symbolic Computation
dc.titleA Formula for the General Solution of a Constant-coefficient Difference Equation
dc.typeJournal article
local.bibliographicCitation.lastpage82
local.bibliographicCitation.startpage79
local.contributor.affiliationWolfram, David, College of Engineering and Computer Science, ANU
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidWolfram, David, u950415
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor080205 - Numerical Computation
local.identifier.ariespublicationMigratedxPub21365
local.identifier.citationvolume29
local.identifier.doi10.1006/jsco.1999.0350
local.identifier.scopusID2-s2.0-0347744264
local.identifier.uidSubmittedByMigrated
local.type.statusPublished Version

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