scientific article; zbMATH DE number 7534319

zbMath1496.11018MaRDI QIDQ5080337

Djilali Behloul, Lyes Ait-Amrane

Publication date: 31 May 2022

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL25/Behloul/behl3.html

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zbMATH Keywords

Fibonacci numbergeneralized Fibonacci numberCassini formulahyper-Fibonacci numbergeneralized hyper-Fibonacci number

Mathematics Subject Classification ID

Recurrences (11B37) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• A bijective proof of Cassini's Fibonacci identity
• On Fibonacci quaternions
• A symmetric algorithm for hyperharmonic and Fibonacci numbers
• A new generalized Cassini determinant
• Generalized Fibonacci Numbers and Associated Matrices
• On the properties of new families of generalized Fibonacci numbers
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