On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

[摘要] 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 polynomialsand Fibonacci polynomials. At last, we get several identities about the Fibonaccinumbers and Lucas numbers.

[学科分类] 应用数学