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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

On Chebyshev polynomials, Fibonacci polynomials, and their derivatives
Authors: Li, Yang;

On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

Abstract

We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and theirrth derivatives. We get the formulas for therth 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.

Related Organizations
Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Special sequences and polynomials, QA1-939, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Mathematics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold