Relationships between the permanents of a certain type of \(k\)-tridiagonal symmetric Toeplitz matrix and the Chebyshev polynomials

DOI10.17512/JAMCM.2017.1.07OpenAlexW2601167081MaRDI QIDQ2659418

Murat Düz, Ahmet Küçük

Publication date: 26 March 2021

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2017.1.07

zbMATH Keywords

Chebyshev polynomialsrecurrence relationToeplitz matrixpermanent\(k\)-tridiagonal matrix

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Recursive and combinational formulas for permanents of general k-tridiagonal Toeplitz matrices

Cites Work

• On a relationship between Chebyshev polynomials and Toeplitz determinants
• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• The adjacency matrix of one type of directed graph and the Jacobsthal numbers and their determinantal representation
• On a constant-diagonals matrix
• On the permanents of some tridiagonal matrices with applications to the Fibonacci and Lucas numbers
• Applications of tridiagonal matrices in non-equilibrium statistical physics
• On Synchronous Robotic Networks—Part I: Models, Tasks, and Complexity
• On permanents of circulants
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