On generalized bicomplex k-Fibonacci numbers

被引：1
|
作者：
Yagmur, Tulay [1 ]
机构：
[1] Univ Aksaray, Dept Math, TR-68100 Aksaray, Turkey
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2019年 / 25卷 / 04期
关键词：
Fibonacci numbers; k-Fibonacci numbers; Bicomplex numbers; Generalized bicomplex numbers; Generalized bicomplex k-Fibonacci numbers;
D O I：
10.7546/nntdm.2019.25.4.123-133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the generalized bicomplex k-Fibonacci numbers. We also give the generating function and Binet's formula for these numbers. In addition, we obtain some identities such as Honsberger, d' Ocagne's, Catalan's, and Cassini's identities involving the generalized bicomplex k-Fibonacci numbers.
引用
收藏
页码：123 / 133
页数：11
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