New strong divisibility sequences

DOI10.26493/1855-3974.2473.f2eOpenAlexW3178840665MaRDI QIDQ5074225

Zhibin Du, Darko Dimitrov, Carlos Martins de Fonseca

Publication date: 9 May 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2473.f2e

zbMATH Keywords

Chebyshev polynomialsdeterminanttridiagonal matricesstrong divisibility sequences

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Recurrences (11B37) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• General conditional recurrences
• On the number of P-vertices of some graphs
• Factorization properties of Chebyshev polynomials
• The eigenproblem of a tridiagonal 2-Toeplitz matrix
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• Some comments on tridiagonal \((p,r)\)-Toeplitz matrices
• Remarks on band matrices
• On periodic continuants
• A Full Characterisation of Divisibility Sequences
• A matrix approach to some second-order difference equations with sign-alternating coefficients
• Linear Divisibility Sequences
• Explicit inverses of some tridiagonal matrices
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