Double Binomial Sums and Double Sums Related with Certain Linear Recurrences of Various Order

被引：0

作者：

Kilic, Emrah ^{[1
]}

Arikan, Talha ^{[2
]}

机构：

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

[2] Hacettepe Univ, Dept Math, Ankara, Turkey

来源：

CHIANG MAI JOURNAL OF SCIENCE | 2018年 / 45卷 / 03期

关键词：

double sums; double binomial sums; Fibonacci number; Pell number; Tribonacci number; generating function;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we derive new double binomial sums families related with generalized second, third and certain higher order linear recurrences. We also present various parametric generalizations of some results of [1, 2]. Finally we present some interesting double sums including only one binomial coefficient related with certain number sequences of various order. We use generating function methods to prove claimed results.

引用

页码：1569 / 1577

页数：9