Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices

DOI10.22124/JMM.2021.18678.1597zbMath1499.15043OpenAlexW3193055413MaRDI QIDQ5080114

Mansoor Hashemi, Elahe Mehraban

Publication date: 31 May 2022

Full work available at URL: https://jmm.guilan.ac.ir/article_4916_bfb486a780cead8933188246ecdd44d4.pdf

zbMATH Keywords

Pascal matrixfactorization of a matrix\(t\)-extension of the \(p\)-Fibonacci matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

The generalized order k–Pell sequences in some special groups of nilpotency class 2 ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory

Cites Work

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• On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers
• The \(k\)-Fibonacci matrix and the Pascal matrix
• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• The linear algebra of the Pascal matrix
• Some combinatorial identities via Fibonacci numbers
• The linear algebra of the \(k\)-Fibonacci matrix.
• CODING THEORY ON THE (m, t)-EXTENSION OF THE FIBONACCI p-NUMBERS
• On the generalized order 2-Pell sequence of some classes of groups
• A new Gaussian Fibonacci matrices and its applications

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