A combinatorial proof of a result on generalized Lucas polynomials

DOI10.1515/DEMA-2016-0022zbMath1343.05014OpenAlexW2512081999MaRDI QIDQ305164

Alexandre Laugier, Manjil Pratim Saikia

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1515/dema-2016-0022

zbMATH Keywords

generalized Lucas polynomialsFibonacci numberbinomial theoremfibonomial coefficientLucas number \(q\)-analogue

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Generalized Fibonacci polynomials and fibonomial coefficients
• Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences

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