DLMF:3.11.E9 (Q1450)

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DLMF:3.11.E9
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    test
    ∑ ′ ′ ℓ = 0 ′ ′ n ′ ′ ⁢ T j ⁡ ( x ℓ ) ⁢ T k ⁡ ( x ℓ ) = { n , j = k = 0 ⁢  or  ⁢ n , 1 2 ⁢ n , j = k ≠ 0 ⁢  or  ⁢ n , 0 , j ≠ k , superscript subscript superscript fragments ′ ′ ℓ 0 𝑛 Chebyshev-polynomial-first-kind-T 𝑗 subscript 𝑥 ℓ Chebyshev-polynomial-first-kind-T 𝑘 subscript 𝑥 ℓ cases 𝑛 𝑗 𝑘 0  or  𝑛 1 2 𝑛 𝑗 𝑘 0  or  𝑛 0 𝑗 𝑘 {\displaystyle{\displaystyle\sideset{}{{}^{\prime\prime}}{\sum}_{\ell=0}^{n}T_% {j}\left(x_{\ell}\right)T_{k}\left(x_{\ell}\right)=\begin{cases}n,&j=k=0\text{% or }n,\\ \frac{1}{2}n,&j=k\neq 0\text{ or }n,\\ 0,&j\neq k,\end{cases}}}
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    DLMF id
    DLMF:3.11.E9
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