On Generalized Pell Numbers of Order r ≥ 2

DOI10.5540/tcam.2021.022.01.00125zbMath1524.11026OpenAlexW3145220289MaRDI QIDQ6070912

Elen Viviani Pereira Spreafico, Mustapha Rachidi

Publication date: 24 November 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5540/tcam.2021.022.01.00125

zbMATH Keywords

combinatorial identitiesanalytic representationsgeneralized Pell numbersgeneralized Cassini identitygeneralized Pell fundamental system

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case
• Solving some generalized Vandermonde systems and inverse of their associate matrices via new approaches for the Binet formula
• The combinatorial power of the companion matrix
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers