A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials

DOI10.17951/a.2023.77.1.1-12OpenAlexW4390813537WikidataQ130163772 ScholiaQ130163772MaRDI QIDQ6076088

Dorota Bród, Anetta Szynal-Liana

Publication date: 23 October 2023

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2023.77.1.1-12

zbMATH Keywords

recurrence relationsFibonacci numbershybrid numbershybrinomials

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• The \(h(x)\)-Fibonacci quaternion polynomials: some combinatorial properties
• Total graph interpretation of the numbers of the Fibonacci type
• Schur positivity and the \(q\)-log-convexity of the Narayana polynomials
• Identities involving Narayana polynomials and Catalan numbers
• Counting lattice paths by Narayana polynomials
• Introduction to hybrid numbers
• K-Narayana sequence self-similarity. Flip graph views of k-Narayana self-similarity
• On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials
• On generalized Fibonacci and Lucas hybrid polynomials
• On generalized Mersenne hybrid numbers
• Introduction to Fibonacci and Lucas hybrinomials
• The Horadam hybrid numbers
• Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials
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