Evaluation of sums of products of Gaussian $q$-binomial coefficients with rational weight functions

Authors

TALHA ARIKAN
EMRAH KILIÇ
HELMUT PRODINGER

DOI

10.3906/mat-1907-117

Abstract

Generalizing earlier results, sums over the products of the Gaussian $q$-binomial coefficients are computed. Some applications of the results for special choices of $q$ are emphasized. The results are obtained by the elementary technique of partial fraction decomposition.

Keywords

Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions

First Page

307

Last Page

318

Recommended Citation

ARIKAN, TALHA; KILIÇ, EMRAH; and PRODINGER, HELMUT (2020) "Evaluation of sums of products of Gaussian $q$-binomial coefficients with rational weight functions," Turkish Journal of Mathematics: Vol. 44: No. 1, Article 21. https://doi.org/10.3906/mat-1907-117
Available at: https://journals.tubitak.gov.tr/math/vol44/iss1/21