A Formula for the General Solution of a Constant-coefficient Difference Equation
-
Altmetric Citations
Description
We 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...[Show more]
dc.contributor.author | Wolfram, David | |
---|---|---|
dc.date.accessioned | 2015-12-13T23:20:48Z | |
dc.identifier.issn | 0747-7171 | |
dc.identifier.uri | http://hdl.handle.net/1885/90879 | |
dc.description.abstract | We 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.publisher | Academic Press | |
dc.source | Journal of Symbolic Computation | |
dc.title | A Formula for the General Solution of a Constant-coefficient Difference Equation | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 29 | |
dc.date.issued | 2000 | |
local.identifier.absfor | 080205 - Numerical Computation | |
local.identifier.ariespublication | MigratedxPub21365 | |
local.type.status | Published Version | |
local.contributor.affiliation | Wolfram, David, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 79 | |
local.bibliographicCitation.lastpage | 82 | |
local.identifier.doi | 10.1006/jsco.1999.0350 | |
dc.date.updated | 2015-12-12T09:04:42Z | |
local.identifier.scopusID | 2-s2.0-0347744264 | |
Collections | ANU Research Publications |
Download
File | Description | Size | Format | Image |
---|---|---|---|---|
01_Wolfram_A_Formula_for_the_General_2000.pdf | 157.49 kB | Adobe PDF | Request a copy |
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.
Updated: 17 November 2022/ Responsible Officer: University Librarian/ Page Contact: Library Systems & Web Coordinator