On Chebyshev polynomials, Fibonacci polynomials, and their derivatives (Q1714607)

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scientific article; zbMATH DE number 7010637
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On Chebyshev polynomials, Fibonacci polynomials, and their derivatives
scientific article; zbMATH DE number 7010637

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    On Chebyshev polynomials, Fibonacci polynomials, and their derivatives (English)
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    1 February 2019
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    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.
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