On hyper \((r,q)\)-Fibonacci polynomials

DOI10.1515/ms-2024-0002zbMATH Open1541.1102MaRDI QIDQ6550085

Hacène Belbachir, Fariza Krim

Publication date: 4 June 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

golden ratioFibonacci polynomialsCassini identityhyper-Fibonacci polynomialsincomplete Fibonacci polynomialsgeneralized arithmetic triangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• A symmetric algorithm for golden ratio in hyper-Horadam numbers
• Incomplete Fibonacci and Lucas \(p\)-numbers
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
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• Incomplete Fibonacci and Lucas numbers
• A symmetric algorithm for hyperharmonic and Fibonacci numbers
• On recurrences in generalized arithmetic triangle
• CATALAN TRANSFORM OF THE κ-FIBONACCI SEQUENCE
• Incomplete Generalized Fibonacci and Lucas Polynomials
• Characterization of linear recurrences associated to rays in Pascal’s triangle
• Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials
• Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties
• Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities

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