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2014 On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Yang Li
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/451953

Abstract

We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth 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.

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Yang Li. "On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/451953

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Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010637
MathSciNet: MR3182370
Digital Object Identifier: 10.1155/2014/451953

Rights: Copyright © 2014 Hindawi

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