DLMF:18.3.E1 (Q5507)

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DLMF:18.3.E1
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    Statements

    Defining formula
    ∑ n = 1 N + 1 T j ⁡ ( x N + 1 , n ) ⁢ T k ⁡ ( x N + 1 , n ) = 0 , superscript subscript 𝑛 1 𝑁 1 Chebyshev-polynomial-first-kind-T 𝑗 subscript 𝑥 𝑁 1 𝑛 Chebyshev-polynomial-first-kind-T 𝑘 subscript 𝑥 𝑁 1 𝑛 0 {\displaystyle{\displaystyle{\sum_{n=1}^{N+1}T_{j}\left(x_{N+1,n}\right)T_{k}% \left(x_{N+1,n}\right)=0},}}
    0 references
    DLMF id
    DLMF:18.3.E1
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    constraint
    j ≠ k 𝑗 𝑘 {\displaystyle{\displaystyle j\neq k}}
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    Symbols used
    Q11207
    Defining formula
    T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r4.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1adec
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    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1dec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1adec
    0 references
     
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