Some identities of the generalized Fibonacci and Lucas sequences

被引：3

作者：

Yang, Jizhen ^{[1
]}

Zhang, Zhizheng ^{[1
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 339卷

基金：

中国国家自然科学基金;

关键词：

Generalized Fibonacci sequence; Generalized Lucas sequence; Identity; Congruence;

D O I：

10.1016/j.amc.2018.07.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study generalized Fibonacci and Lucas sequences. We first introduce generalized Lucas sequences. Section 2 contains a list of elementary relationships about generalized Fibonacci and Lucas sequences. In Section 3, we give a generalization of the Binet's formulas of generalized Fibonacci, Lucas sequences and its applications. Section 4 is devote to derive many identities and congruence relations for generalized Fibonacci, Lucas sequences by using operator method. (C) 2018 Published by Elsevier Inc.

引用

页码：451 / 458

页数：8

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