Partial sums of the gaussian q-binomial coefficients, their reciprocals, square and squared reciprocals with applications
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In this paper, we shall derive formulæ for partial sums of the Gaussian q-binomial coefficients, their reciprocals, squares and squared reciprocals. To prove the claimed results, we use q-calculus. As applications of our results, we give some interesting generalized Fibonomial sums formulæ.