On Chebyshev polynomials, Fibonacci polynomials, and their derivatives
type: Item
instance of: scholarly article
title: On Chebyshev polynomials, Fibonacci polynomials, and their derivatives
zbMATH Open document ID: 1406.11021
DOI: 10.1155/2014/451953
author: Erdal Karapınar
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their \(r\)th derivatives. We get the formulas for the \(r\)th derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 7010637
Wikidata QID: Q59051435
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/451953
OpenAlex ID: W2000813559
description: scientific article; zbMATH DE number 7010637