Trigonometric factorizations of the Horadam sequence and its companion sequence

DOI10.1070/IM8676zbMath1446.11028WikidataQ114102384 ScholiaQ114102384MaRDI QIDQ4613524

Zafer Ṣiar

Publication date: 1 February 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluedeterminanttridiagonal matrixHoradam sequence

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

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Cites Work

• On the complex factorization of the Lucas sequence
• Factorizations and representations of second order linear recurrences with indices in arithmetic progressions
• A generalization of tridiagonal matrix determinants, Fibonacci and Lucas numbers
• Complex factorizations of the Lucas sequences via matrix methods
• On factorization of the Fibonacci and Lucas numbers using tridiagonal determinants
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