Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums

DOI10.1007/S10998-014-0069-5zbMath1349.11028OpenAlexW2086159590MaRDI QIDQ276443

Emrah Kılıç, Prodinger, Helmut

Publication date: 3 May 2016

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0069-5

zbMATH Keywords

\(q\)-Dixon identityFibonomial coefficientsGaussian \(q\)-binomial coefficientssums identity

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Some Gaussian binomial sum formulæ with applications ⋮ Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums ⋮ Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ A class of non-symmetric band determinants with the Gaussianq-binomial coefficients ⋮ q-binomial formulae of Dixon`s type and the Fibonomial sums

Cites Work

• Formulae related to the \(q\)-Dixon formula with applications to Fibonomial sums
• A NOTE ON CERTAIN q-IDENTITIES
• CERTAIN q-IDENTITIES
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