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Fibonomial and Lucanomial sums through well-poised $q$-series

By making use of known identities of terminating well-poised $q$-series, we shall demonstrate several remarkable summation formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.

Keywords:

Gaussian coefficient, $q$-binomial coefficient, Well-poised $q$-series Fibonomial coefficient, Lucanomial coefficient,

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