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Second order linear difference equations
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Jiménez Jiménez, María José |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2018-01-12T11:42:21Z |
dc.date.available | 2018-01-12T11:42:21Z |
dc.date.issued | 2017-12-04 |
dc.identifier.citation | Encinas, A., Jiménez, M.J. Second order linear difference equations. "Journal of difference equations and applications", 4 Desembre 2017, p. 1-39. |
dc.identifier.issn | 1023-6198 |
dc.identifier.uri | http://hdl.handle.net/2117/112719 |
dc.description.abstract | We provide the explicit solution of a general second order linear difference equation via the computation of its associated Green function. This Green function is completely characterized and we obtain a closed expression for it using functions of two–variables, that we have called Chebyshev functions due to its intimate relation with the usual one–variable Chebyshev polynomials. In fact, we show that Chebyshev functions become Chebyshev polynomials if constant coefficients are considered. |
dc.format.extent | 39 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Green's functions |
dc.subject.lcsh | Initial value problems |
dc.subject.lcsh | Chebyshev polynomials |
dc.subject.other | Chebyshev functions |
dc.subject.other | Chebyshev polynomials |
dc.subject.other | green function |
dc.subject.other | initial value problem |
dc.subject.other | Second order difference equations |
dc.title | Second order linear difference equations |
dc.type | Article |
dc.subject.lemac | Problemes de valor inicial |
dc.subject.lemac | Polinomis |
dc.contributor.group | Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes |
dc.identifier.doi | 10.1080/10236198.2017.1408608 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::12 Field theory and polynomials |
dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/10236198.2017.1408608?journalCode=gdea20 |
dc.rights.access | Open Access |
local.identifier.drac | 21678622 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Encinas, A.; Jiménez, M.J. |
local.citation.publicationName | Journal of difference equations and applications |
local.citation.startingPage | 1 |
local.citation.endingPage | 39 |
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