Di̇dem Ersanli Bahti̇yar, Emrah Kiliç, "A Hankel Determinant Evaluation: An Asymmetric and Nonlinear Variant of Filbert-like Matrices," WSEAS Transactions on Mathematics, vol. 24, pp. 766-776, 2025, DOI:10.37394/23206.2025.24.76
Di̇dem Ersanli Bahti̇yar, Emrah Kiliç. A Hankel Determinant Evaluation: An Asymmetric and Nonlinear Variant of Filbert-like Matrices.
WSEAS Transactions on Mathematics. 2025;24:766-776. 10.37394/23206.2025.24.76
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
A Hankel Determinant Evaluation: An Asymmetric and Nonlinear Variant of Filbert-like Matrices
Authors: ,
Abstract: We define a new variant of Filbert-like matrices with entries defined by ratios of terms from general
Fibonacci and Lucas sequences as well as they are defined differently based on the parity of the row indices. For
each matrix, we find L and U matrices related to LU-decomposition, their inverses, inverse of the each matrix,
and its determinant. All results are valid for general q. The results for general Fibonacci and Lucas numbers are
obtained as natural consequences for the particular selection of q.
Pages: 766-776 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #76 DOI: 10.37394/23206.2025.24.76
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