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Combinatorial recurrences and linear difference equations
| dc.contributor.author | Jiménez Jiménez, María José |
| dc.contributor.author | Encinas Bachiller, Andrés Marcos |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2016-10-20T11:43:50Z |
| dc.date.available | 2018-10-17T00:31:03Z |
| dc.date.issued | 2016-10-17 |
| dc.identifier.citation | Jiménez, M.J., Encinas, A. Combinatorial recurrences and linear difference equations. "Electronic notes in discrete mathematics", 17 Octubre 2016, vol. 54, p. 313-318. |
| dc.identifier.issn | 1571-0653 |
| dc.identifier.uri | http://hdl.handle.net/2117/90923 |
| dc.description.abstract | In this work we introduce the triangular arrays of depth greater than 1 given by linear recurrences, that generalize some well known recurrences that appear in enumerative combinatorics. In particular, we focussed on triangular arrays of depth 2, since they are closely related with the solution of linear three–terms recurrences. We show through some simple examples how this triangular arrays appear as essential components in the expression of some classical orthogonal polynomials and combinatorial numbers |
| dc.format.extent | 6 p. |
| dc.language.iso | eng |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències |
| dc.subject.lcsh | Difference equations |
| dc.subject.lcsh | Matrices |
| dc.subject.lcsh | Orthogonal polynomials |
| dc.subject.other | Combinatorial identities |
| dc.subject.other | Triangular matrices |
| dc.subject.other | Finite difference equations |
| dc.subject.other | Orthogonal polynomials |
| dc.title | Combinatorial recurrences and linear difference equations |
| dc.type | Article |
| dc.subject.lemac | Equacions en diferències |
| dc.subject.lemac | Matrius (Matemàtica) |
| dc.subject.lemac | Polinomis ortogonals |
| dc.contributor.group | Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes |
| dc.identifier.doi | 10.1016/j.endm.2016.09.054 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::39 Difference and functional equations::39A Difference equations |
| dc.subject.ams | Classificació AMS::11 Number theory::11C Polynomials and matrices |
| dc.rights.access | Open Access |
| local.identifier.drac | 19161849 |
| dc.description.version | Postprint (author's final draft) |
| dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2014-60450-R/ES/LA RESISTENCIA EFECTIVA COMO HERRAMIENTA PARA EL ESTUDIO DEL PROBLEMA INVERSO DE LAS CONDUCTANCIAS Y EL ANALISIS DE LAS PERTURBACIONES DE REDES/ |
| local.citation.author | Jiménez, M.J.; Encinas, A. |
| local.citation.publicationName | Electronic notes in discrete mathematics |
| local.citation.volume | 54 |
| local.citation.startingPage | 313 |
| local.citation.endingPage | 318 |
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