Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties

DOI10.3906/mat-1808-27zbMath1455.11026OpenAlexW2947562203WikidataQ127760948 ScholiaQ127760948MaRDI QIDQ5229828

Bénali Benzaghou, Sadjia Abbad, Hacène Belbachir

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1808-27

zbMATH Keywords

\(q\)-analoguesconvolutionrecurrence relation\(r\)-Fibonacci sequencecompanion sequenceshyper-\(r\)-Lucas polynomialincomplete \(r\)-Lucas polynomial

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Bi-periodic $r$-Fibonacci sequence and bi-periodic $r$-Lucas sequence of type $s$ ⋮ On generalized Fibonacci and Lucas hybrid polynomials ⋮ $k$-Fibonacci numbers and $k$-Lucas numbers and associated bipartite graphs ⋮ On recurrences in generalized arithmetic triangle ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Incomplete bivariate Fibonacci and Lucas \(p\)-polynomials
• An alternative approach to Cigler's \(q\)-Lucas polynomials
• Suites récurrentes linéaires. Propriétés algébriques et arithmétiques. (Linear recurrent sequences. Algebraic and arithmetic properties)
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• A new class of \(q\)-Fibonacci polynomials
• Generating functions of the incomplete Fibonacci and Lucas numbers
• Incomplete Fibonacci and Lucas numbers
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
• Generalized Fibonacci Numbers and Associated Matrices
• On some properties on bivariate Fibonacci and Lucas polynomials
• Evaluation of Hessenberg determinants via generating function approach
• On some generalizations of Horadam’s numbers
• On Sums Involving Binomial Coefficients

This page was built for publication: Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties