Jun 30, 2015 · It would be better to rephrase the question in more specific terms, like: "How to compute the Fourier-Chebyshev expansion of $\sin (x)$ and $\cos (x)$ over $ [-1,1]$?" - and add your …

Dec 14, 2025 · In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are two sequences of orthogonal polynomials which are related to de Moivre's formula. These polynomials …

Nov 4, 2023 · Can you clarify how the student is well-versed in polynomials but doesn't know "equations of the degree higher than 2"? What's the distinction?

May 26, 2021 · And I know the Chebyshev interpolant has the good behavior. My question is if the Chebyshev interpolant is the best uniform approximation in some special cases? What the …

Apr 6, 2021 · Chebyshev polynomials of the first kind $\;T_n (x)\;$ are defined in the interval $\; [-1,1]\;$ and presents one of the popular families of the classic orthogonal polynomials, with the next common …

Dec 29, 2020 · One that for Laguerre polynomials is asked at Derive Rodrigues’ formula for Laguerre polynomials , but that for Chebyshev Polynomials is nowhere to be found. The generating function …

Oct 7, 2014 · Chebyshev's Theorem regarding real polynomials: Why do only the Chebyshev polynomials achieve equality in this inequality? Ask Question Asked 11 years, 2 months ago …

Jan 14, 2020 · Find the generating function of Chebyshev polynomials Ask Question Asked 5 years, 11 months ago Modified 5 years, 11 months ago

Jun 23, 2023 · It seems to me that this hypothesis of mine would be enough to prove by induction after n but how would it look? How to calculate the coefficients of the Chebyshev polynomial ?

Aug 13, 2018 · Showing That Chebyshev Polynomials Are Orthogonal Ask Question Asked 7 years, 4 months ago Modified 7 years, 4 months ago