Gaussian q -binomial coefficients

The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the LU -decomposition and their inverses, as well as the Cholesky decomposition.

13p danhdanh27 07-01-2019 19 1   Download

Sums of products of two Gaussian q -binomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting applications of these results to certain generalized Fibonomial and Lucanomial sums are provided.

10p danhdanh27 07-01-2019 18 2   Download