Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums
نویسندگان
چکیده
منابع مشابه
EVALUATION OF SUMS INVOLVING GAUSSIAN q-BINOMIAL COEFFICIENTS WITH RATIONAL WEIGHT FUNCTIONS
We consider sums of the Gaussian q-binomial coefficients with a parametric rational weight function. We use the partial fraction decomposition technique to prove the claimed results. We also give some interesting applications of our results to certain generalized Fibonomial sums weighted with finite products of reciprocal Fibonacci or Lucas numbers.
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ژورنال
عنوان ژورنال: TURKISH JOURNAL OF MATHEMATICS
سال: 2017
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1503-57