PARTIAL SUMS OF THE GAUSSIAN q-BINOMIAL COEFFICIENTS, THEIR RECIPROCALS, SQUARE AND SQUARED RECIPROCALS WITH APPLICATIONS

被引：0

作者：

Kilic, Emrah ^{[1
]}

Akkus, Ilker ^{[2
]}

机构：

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

[2] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Kirikkale, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 01期

关键词：

Fibonomial coefficients; Gaussian q-binomial coefficients; sum identities; FIBONOMIAL SUMS; IDENTITIES; FIBONACCI;

D O I：

10.18514/MMN.2019.2456

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we shall derive formulae for partial sums of the Gaussian q-binomial coefficients, their reciprocals, squares and squared reciprocals. To prove the claimed results, we use q-calculus. As applications of our results, we give some interesting generalized Fibonomial sums formulae.

引用

页码：299 / 310

页数：12

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