The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach
Milica Anđelić, Carlos M. da Fonseca, Fatih Yılmaz
Abstract
In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.
Topics & Concepts
Tridiagonal matrixToeplitz matrixMathematicsChebyshev polynomialsSequence (biology)Chebyshev filterPure mathematicsLevinson recursionAlgebra over a fieldApplied mathematicsMathematical analysisPhysicsChemistryEigenvalues and eigenvectorsQuantum mechanicsBiochemistryAdvanced Mathematical Theories and ApplicationsGraph Labeling and Dimension ProblemsAdvanced Combinatorial Mathematics