GAUSSIAN JACOBSTHAL AND GAUSSIAN JACOBSTHAL LUCAS NUMBERS

被引：0

作者：

Asci, Mustafa ^{[1
]}

Gurel, Esref ^{[1
]}

机构：

[1] Pamukkale Univ, Sci & Arts Fac, Dept Math, Kinikli Denizli, Turkey

来源：

ARS COMBINATORIA | 2013年 / 111卷

关键词：

Jacobsthal Numbers; Jacobsthal Lucas Numbers; Gaussian Fibonacci numbers; COMPLEX FIBONACCI;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we define and study the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers. We also present explicit combinatorial and determinantal expressions, study negatively subscripted numbers and give various identities. Similar to the Jacobsthal and Jacobsthal Lucas numbers we give some interesting results for the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers.

引用

页码：53 / 63

页数：11

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