descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2019 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 576, pages 301-323 (issn: 0024-3795,

Authors: Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José;

doi: 10.1016/j.laa.2018.10.015

handle: 2117/126128

Triangular sequences, combinatorial recurrences and linear difference equations

- Summary
- Subjects
- Related research
  (1)
- Metrics

Abstract

In this work we introduce the triangular double sequences of arbitrary order given by linear recurrences, that generalize some well-known recurrences that appear in enumerative combinatorics. In particular, we focussed on triangular sequences generated by two double sequences and establish their relation with the solution of linear three-term recurrences. We show through some simple examples how these triangular sequences appear as essential components in the expression of some classical orthogonal polynomials and combinatorial numbers. Peer Reviewed

Related Organizations

Keywords

Combinatorial analysis, Linear difference equations, Classificació AMS::05 Combinatorics::05A Enumerative combinatorics, Orthogonal polynomials, Classificació AMS::11 Number theory::11B Sequences and sets, Combinatorial identities, :39 Difference and functional equations::39A Difference equations [Classificació AMS], Classificació AMS::39 Difference and functional equations::39A Difference equations, :Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], Triangular matrices, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, :05 Combinatorics::05A Enumerative combinatorics [Classificació AMS], Three-term recurrences, :11 Number theory::11B Sequences and sets [Classificació AMS], Anàlisi combinatòria

1 Research products, page 1 of 1

Teoría de Floquet para ecuaciones en diferencias lineales de segundo orden y homogéas
2015IsAmongTopNSimilarDocuments

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average