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.
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页码：451 / 458
页数：8
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