A matrix approach to some second-order difference equations with sign-alternating coefficients

DOI10.1080/10236198.2019.1709180zbMath1472.39004OpenAlexW2999092719MaRDI QIDQ4960134

Zhibin Du, Milica Anđelić, Emrah Kılıç, Carlos Martins de Fonseca

Publication date: 9 April 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1709180

zbMATH Keywords

difference equationsdeterminantFibonacci numbersChebyshev polynomials of second kind\(k\)-Toeplitz tridiagonal matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Recurrences (11B37) Additive difference equations (39A10) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (7)

New strong divisibility sequences ⋮ Some combinatorial matrices and their LU-decomposition ⋮ A common generalization of convolved \((u,v)\)-Lucas first and second kinds \(p\)-polynomials ⋮ On symmetric Tetranacci polynomials in mathematics and physics ⋮ On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers ⋮ The trace method for cotangent sums ⋮ Chebyshev polynomials and \(r\)-circulant matrices

Uses Software

• OEIS

Cites Work

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• On periodic continuants
• The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles
• On a difference equation of the second order with an exponential coefficient
• Inversion of Toeplitz Matrices which are not Strongly Non-singular
• Explicit inverses of some tridiagonal matrices

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