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

Authors

TALHA ARIKAN
EMRAH KILIÇ
HELMUT PRODINGER

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.

DOI

10.3906/mat-1907-117

Keywords

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

First Page

307

Last Page

318

Recommended Citation

ARIKAN, T, KILIÇ, E, & PRODINGER, H (2020). Evaluation of sums of products of Gaussian $q$-binomial coefficients with rational weight functions. Turkish Journal of Mathematics 44 (1): 307-318. https://doi.org/10.3906/mat-1907-117