\(d\)-Gaussian Fibonacci, \(d\)-Gaussian Lucas polynomials, and their matrix representations

DOI10.1007/s11253-023-02217-3OpenAlexW4387378501MaRDI QIDQ6083228

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Publication date: 31 October 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02217-3

zbMATH Keywords

Riordan arraysFibonacci polynomialsPascal matrixLucas polynomials

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

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• On generalized Fibonacci and Lucas polynomials
• The Riordan group
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Fibonacci and Lucas Numbers With Applications
• On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials
• On a new family of gauss k-Lucas numbers and their polynomials
• On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications
• Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

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