New identities involving generalized Fibonacci and generalized Lucas numbers

被引：0
|
作者：
W. M. Abd-Elhameed
N. A. Zeyada
机构：
[1] Cairo University,Department of Mathematics, Faculty of Science
来源：
Indian Journal of Pure and Applied Mathematics | 2018年 / 49卷
关键词：
Generalized Fibonacci and Lucas numbers; Lucas and Fibonacci numbers; Pell and Pell-Lucas numbers; recurrence relation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper presents two new identities involving generalized Fibonacci and generalized Lucas numbers. One of these identities generalize the two well-known identities of Sury and Marques which are recently developed. Some other interesting identities involving the famous numbers of Fibonacci, Lucas, Pell and Pell-Lucas numbers are also deduced as special cases of the two derived identities. Performing some mathematical operations on the introduced identities yield some other new identities involving generalized Fibonacci and generalized Lucas numbers.
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页码：527 / 537
页数：10
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