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