Some properties of convolved \(k\)-Fibonacci numbers

DOI10.1155/2013/759641zbMath1294.11011OpenAlexW2037496150WikidataQ58998560 ScholiaQ58998560MaRDI QIDQ361582

José L. Ramírez

Publication date: 29 August 2013

Published in: ISRN Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/759641

zbMATH Keywords

Hessenberg matrix\(k\)-Lucas numberconvolved \(k\)-Fibonacci number

Mathematics Subject Classification ID

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

Related Items

On split \(k\)-Fibonacci and \(k\)-Lucas quaternions, Determinantal and permanental representations of convolved \((u, v)\)-Lucas first kind \(p\)-polynomials, Several closed and determinantal forms for convolved Fibonacci numbers, On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials, Incomplete \(k\)-Fibonacci and \(k\)-Lucas numbers, A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications, Generalized Humbert polynomials via generalized Fibonacci polynomials, Determinantal and permanental representations of convolved Lucas polynomials, On convolved generalized Fibonacci and Lucas polynomials

Cites Work

• The \(k\)-Fibonacci matrix and the Pascal matrix
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Inverse series relations and other expansions involving Humbert polynomials
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