Fibonacci, Chebyshev, and Orthogonal Polynomials

DOI10.2307/30037546zbMath1138.11308OpenAlexW4246163042MaRDI QIDQ5295568

Dov Aharonov, Kathy A. Driver, Alan F. Beardon

Publication date: 30 July 2007

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/30037546

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) History of mathematics in Late Antiquity and medieval Europe (01A35) History of mathematics in the 19th century (01A55) History of mathematics in the 17th century (01A45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (14)

Truncated Lucas sequence and its period ⋮ Floquet theory for second order linear homogeneous difference equations ⋮ On two sequences of orthogonal polynomials related to Jordan blocks ⋮ Explicit inverse of nonsingular Jacobi matrices ⋮ Sequences of numbers meet the generalized Gegenbauer-Humbert polynomials ⋮ The theorems of Stieltjes and Favard ⋮ The inverses of some circulant matrices ⋮ On the \(k\)-generalized Fibonacci numbers and high-order linear recurrence relations ⋮ Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials ⋮ Unnamed Item ⋮ On sequences of numbers and polynomials defined by linear recurrence relations of order 2 ⋮ Recursive sequences and Girard-Waring identities with applications in sequence transformation ⋮ Second order linear difference equations ⋮ Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices

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