Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the...

Full description

Bibliographic Details
Main Authors: Yuankui Ma, Wenpeng Zhang
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Mathematics
Subjects:
Fibonacci polynomials
Fibonacci numbers
recursive sequence
combinatorial method
power series
identity
Online Access:https://www.mdpi.com/2227-7390/6/12/334
Description
Summary:The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial methods.
ISSN:2227-7390

Similar Items