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Triangular sequences, combinatorial recurrences and linear difference equations

Author
Encinas, A.; Jiménez, M.J.
Type of activity
Journal article
Journal
Linear algebra and its applications
Date of publication
2018-10-22
DOI
https://doi.org/10.1016/j.laa.2018.10.015 Open in new window
Repository
http://hdl.handle.net/2117/126128 Open in new window
URL
https://www.sciencedirect.com/science/article/abs/pii/S0024379518304956 Open in new window
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 com- binatorics. 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 clas- sical ort...
Citation
Encinas, A., Jiménez, M.J. Triangular sequences, combinatorial recurrences and linear difference equations. "Linear algebra and its applications", 22 Octubre 2018.
Keywords
Combinatorial identities Triangular matrices Linear difference equations Three-term recurrences Orthogonal polynomials
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

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