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

被引：13

作者：

Kilic, Emrah ^{[1
]}

Prodinger, Helmut ^{[2
]}

机构：

[1] TOBB Univ Econ & Technol, Dept Math, TR-06560 Ankara, Turkey

[2] Univ Stellenbosch, Dept Math, ZA-7602 Stellenbosch, South Africa

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2016年 / 12卷 / 02期

关键词：

q-Binomial coefficient; Fibonomial coefficients; partial fraction decomposition; identities;

D O I：

10.1142/S1793042116500305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：495 / 504

页数：10

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