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Combinatorial recurrences and linear difference equations

Autor
Jiménez, M.J.; Encinas, A.
Tipus d'activitat
Article en revista
Revista
Electronic notes in discrete mathematics
Data de publicació
2016-10-17
Volum
54
Pàgina inicial
313
Pàgina final
318
DOI
https://doi.org/10.1016/j.endm.2016.09.054 Obrir en finestra nova
Projecte finançador
La resistencia efectiva como herramienta para el estudio del problema inverso de las conductancias y el análisis de las perturbaciones de redes
Repositori
http://hdl.handle.net/2117/90923 Obrir en finestra nova
Resum
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 combinato...
Citació
Jiménez, M.J., Encinas, A. Combinatorial recurrences and linear difference equations. "Electronic notes in discrete mathematics", 17 Octubre 2016, vol. 54, p. 313-318.
Paraules clau
Combinatorial identities, Finite difference equations, Orthogonal polynomials, Triangular matrices
Grup de recerca
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial