Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications

DOI10.1007/S13226-023-00430-1MaRDI QIDQ6669295

I. M. Craveiro, Elen Viviani Pereira Spreafico, M. Rachidi

Publication date: 22 January 2025

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized Fibonacci numberscombinatorial formulasanalytical formulasgeneralized Pell numbersgeneralized Cassini identitiesgeneralized Fibonacci fundamental systemweighted generalized Fibonacci sequences

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Applications of difference equations (39A60) Linear difference equations (39A06) Numerical aspects of recurrence relations (65Q30) Numerical methods for difference equations (65Q10)

Cites Work

• 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
• Fibonacci and Catalan Numbers
• Simson Identity of Generalized m-step Fibonacci Numbers
• On Generalized Pell Numbers of Order r ≥ 2
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