Generalized Fibonacci sequences via orthogonal polynomials

DOI10.1016/j.amc.2012.03.053zbMath1271.11019OpenAlexW2035736721MaRDI QIDQ440967

J. Petronilho

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.053

zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialspolynomial mappingsgeneralized Fibonacci sequencesBinet's-type formulas

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Two generalizations of Lucas sequence ⋮ \(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ Products of \(2\times 2\) matrices related to non autonomous Fibonacci difference equations ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• On orthogonal polynomials obtained via polynomial mappings
• The generating function of a family of the sequences in terms of the continuant
• A note on generalized Fibonacci sequences
• Fibonacci identities via the determinant of tridiagonal matrix
• Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• The k-Periodic Fibonacci Sequence and an Extended Binet's Formula
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula

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