Distance Fibonacci Polynomials-Reference-Cited by-同舟云学术

Distance Fibonacci Polynomials

Published:2020-09-17 Issue:9 Volume:12 Page:1540
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Bednarz Urszula^ORCID,Wołowiec-Musiał Małgorzata^ORCID

Abstract

In this paper, we introduce a new kind of generalized Fibonacci polynomials in the distance sense. We give a direct formula, a generating function and matrix generators for these polynomials. Moreover, we present a graph interpretation of these polynomials, their connections with Pascal’s triangle and we prove some identities for them.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/12/9/1540/pdf

Reference26 articles.

1. On the Fibonacci k-numbers

2. A note on the k-Narayana sequence;Ramirez;Ann. Math. Inform.,2015

3. The total number of generalized stable sets and kernels of graphs;Kwaśnik;Ars Comb.,2000

4. A Primer for the Fibonacci Numbers: Part VII - An Introduction to Fibonacci Polynomials and their Divisibility Properties;Bicknell;Fibonacci Quart.,1970

5. Fibonacci polynomials and Zeckendorf theorem;Hoggatt;Fibonacci Quart.,1973

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Gaussian Leonardo Hybrid Polynomials;Symmetry;2023-07-15

2. Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals;Mathematics;2022-07-04

3. Some new identities of a type of generalized numbers involving four parameters;AIMS Mathematics;2022

4. Distance Fibonacci Polynomials by Graph Methods;Symmetry;2021-11-03

5. Distance Fibonacci Polynomials—Part II;Symmetry;2021-09-17