| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8900610 | Applied Mathematics and Computation | 2018 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jizhen Yang, Zhizheng Zhang,