Nonlinear variants of the generalized Filbert and Lilbert matrices

DOI10.3906/mat-1909-62zbMath1443.05018OpenAlexW3025885919MaRDI QIDQ4970836

Sibel Koparal, Nese Omur, Emrah Kılıç

Publication date: 7 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1909-62

zbMATH Keywords

Fibonacci and Lucas numbersgeneralized Pochhammer symbolFilbert and Lilbert matricesinverse matrix determinant

Mathematics Subject Classification ID

Factorization of matrices (15A23) (q)-calculus and related topics (05A30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries
• Binomial determinant evaluations
• Finite differences and determinant identities
• Quantum Hilbert matrices and orthogonal polynomials
• The generalized Lilbert matrix
• A note on the determinant of a Toeplitz-Hessenberg matrix
• The generalized q-Pilbert matrix
• Asymmetric generalizations of the filbert matrix and variants
• Pascal Matrices
• Theq-Pilbert matrix
• A nonlinear generalization of the Filbert matrix and its Lucas analogue

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