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
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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