GAUSSIAN FIBONACCI AND GAUSSIAN LUCAS p-NUMBERS

被引：0

作者：

Asci, Mustafa ^{[1
]}

Gurel, Esref ^{[1
]}

机构：

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

来源：

ARS COMBINATORIA | 2017年 / 132卷

关键词：

Fibonacci numbers; Gaussian Fibonacci numbers; Gaussian Fibonacci p-Numbers; Gaussian Lucas p-Numbers; GENERALIZED FIBONACCI; COMPLEX FIBONACCI; PARTIAL DERIVATIVES; GOLDEN SECTION; BINET FORMULAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define and study the Gaussian Fibonacci and Gaussian Lucas p-numbers. We give generating functions, Binet formulas, explicit formulas, matrix representations and sums of Gaussian Fibonacci p-numbers by matrix methods. For p = 1 these Gaussian Fibonacci and Gaussian Lucas p numbers reduce to the Gaussian Fibonacci and the Gaussian Lucas number.

引用

页码：389 / 402

页数：14

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