Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

DOI10.1080/00927872.2019.1576186zbMath1457.11019OpenAlexW2932511341WikidataQ128117982 ScholiaQ128117982MaRDI QIDQ5227679

Engin Özkan, İpek Altun

Publication date: 7 August 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1576186

zbMATH Keywords

Fibonacci numbersLucas numbersFibonacci polynomialsLucas polynomials

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)

Related Items (10)

On \(F_3(k,n)\)-numbers of the Fibonacci type ⋮ GAUSSIAN PENTANACCI NUMBERS AND POLYNOMIALS ⋮ A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials ⋮ \(d\)-Gaussian Fibonacci, \(d\)-Gaussian Lucas polynomials, and their matrix representations ⋮ Hyperbolic functions obtained from \(k\)-Pell sequences ⋮ Introduction to Fibonacci and Lucas hybrinomials ⋮ Unnamed Item ⋮ On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials ⋮ Triangular numbers and generalized Fibonacci polynomial ⋮ Hyperbolic functions obtained from k-Jacobsthal sequences

Cites Work

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• 3-step Fibonacci series modulo \(m\).
• A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications
• On truncated Fibonacci sequences
• The Fibonacci length of certain centro-polyhedral groups.
• SUMS, PRODUCTS AND IDENTITIES INVOLVING k-FIBONACCI AND k-LUCAS SEQUENCES
• On the k-Nacci Sequences in Finite Binary Polyhedral Groups

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