Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1503-57
Keywords
Gaussian $q$-binomial coefficients, Fibonomial coefficients, Lucanomial coefficients, sum identities
First Page
707
Last Page
716
Recommended Citation
KILIÇ, EMRAH and PRODINGER, HELMUT
(2017)
"Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums,"
Turkish Journal of Mathematics: Vol. 41:
No.
3, Article 20.
https://doi.org/10.3906/mat-1503-57
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss3/20
