On (k,p)-Fibonacci Numbers

被引：9

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

页数：13

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