On (k,p)-Fibonacci Numbers

被引：8
|
作者：
Bednarz, Natalia [1 ]
机构：
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
来源：
MATHEMATICS | 2021年 / 9卷 / 07期
关键词：
Fibonacci numbers; Pell numbers; Narayana numbers;
D O I：
10.3390/math9070727
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study a new two-parameters generalization of the Fibonacci numbers, which generalizes Fibonacci numbers, Pell numbers, and Narayana numbers, simultaneously. We prove some identities which generalize well-known relations for Fibonacci numbers, Pell numbers and their generalizations. A matrix representation for generalized Fibonacci numbers is given, too.
引用
收藏
页数：13
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