List questions from chebyshev-polynomials

Published on 25 Mar 2026 - 7:48

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Bounding the residual of Chebyshev approximations of the Heaviside function

Published on 15 Jun 2023 - 1:21

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Coefficients of Chebyshev polynomials

Published on 23 Jun 2023 - 11:39

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An integral identity: $\int_{0}^{\large\frac{π}{2}}\dfrac{\cos^{a}x\sin(a+1)x}{\sin x}\ \mathrm{d}x$

Published on 26 Jun 2023 - 20:32

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How to solve equation involving Chebyshev polynomial ratio?: $\frac{\cos\big(\frac{\cos^{-1}(ya)}{2N}\big)}{\cos\big(\frac{\cos^{-1}(y)}{2N}\big)}=x$

Published on 12 Jul 2023 - 17:08

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Show that for any positive integers $i$ and $j$ with $ i > j$, we have $T_i (x)T_j(x)= \frac{1}{2}[T_{i+j}(x)T_{i-j}(x)]$

Published on 31 Jul 2023 - 18:16

417

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Show that $\max _{x \in[-1,1]}|P(x)| \geq \frac{1}{2^{n-1}}$ without Chebyshev polynomials

Published on 08 Aug 2023 - 0:07

292

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Complex argument in Chebyshev polynomials of second kind?

Published on 25 Mar 2026 - 7:41

51

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Solving product of two cosine terms

Published on 16 Aug 2023 - 9:47

75

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Chebyhev polynomials and Primality Testing

Published on 23 Aug 2023 - 1:35

68

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Coefficient of $x^n$ in Legendre series expansion

Published on 04 Sep 2023 - 17:46

161

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How to derive the sum $ \sum_{k=1}^{n-1} \frac{1}{\cosh^2\left(\frac{\pi k}{n}\right)}$

Published on 03 Oct 2023 - 18:30

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How is the Chebyshev polynomial approximation defined when using the spectral method to numerically solve PDEs?

Published on 23 Oct 2023 - 13:49

137

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What should the $\mathfrak{sl}(3)$ Chebyshev polynomials be?

Published on 27 Oct 2023 - 22:07

109

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Finding the Chebyshev polynomials $T_n$ by elementary means

Published on 04 Nov 2023 - 11:04

List Question

Inverse function of $U_{k-1}(\cos(\frac{\pi}{x}))$?

Bounding the residual of Chebyshev approximations of the Heaviside function

Coefficients of Chebyshev polynomials

An integral identity: $\int_{0}^{\large\frac{π}{2}}\dfrac{\cos^{a}x\sin(a+1)x}{\sin x}\ \mathrm{d}x$

How to solve equation involving Chebyshev polynomial ratio?: $\frac{\cos\big(\frac{\cos^{-1}(ya)}{2N}\big)}{\cos\big(\frac{\cos^{-1}(y)}{2N}\big)}=x$

Show that for any positive integers $i$ and $j$ with $ i > j$, we have $T_i (x)T_j(x)= \frac{1}{2}[T_{i+j}(x)T_{i-j}(x)]$

Show that $\max _{x \in[-1,1]}|P(x)| \geq \frac{1}{2^{n-1}}$ without Chebyshev polynomials

Complex argument in Chebyshev polynomials of second kind?

Solving product of two cosine terms

Chebyhev polynomials and Primality Testing

Coefficient of $x^n$ in Legendre series expansion

How to derive the sum $ \sum_{k=1}^{n-1} \frac{1}{\cosh^2\left(\frac{\pi k}{n}\right)}$

How is the Chebyshev polynomial approximation defined when using the spectral method to numerically solve PDEs?

What should the $\mathfrak{sl}(3)$ Chebyshev polynomials be?

Finding the Chebyshev polynomials $T_n$ by elementary means

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