\(q\)-derivative operator proof for a conjecture of Melham

DOI10.1016/j.dam.2014.05.038zbMath1352.11022OpenAlexW2034415251WikidataQ123314407 ScholiaQ123314407MaRDI QIDQ406342

Nadia N. Li, Chu, Wenchang

Publication date: 8 September 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2014.05.038

zbMATH Keywords

Fibonacci numbersLucas numbersfibonomial coefficient\(q\)-derivative operator

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Fibonomial and Lucanomial sums through well-poised $q$-series ⋮ Unnamed Item ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients ⋮ q-binomial formulae of Dixon`s type and the Fibonomial sums

Cites Work

• Quantum Hilbert matrices and orthogonal polynomials
• On some identities for the Fibonomial coefficients via generating function
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