DLMF:3.3.E1 (Q1105)

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DLMF:3.3.E1
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    Statements

    test
    P n ⁢ ( z ) = ∑ k = 0 n ℓ k ⁢ ( z ) ⁢ f k = ∑ k = 0 n ω n + 1 ⁢ ( z ) ( z - z k ) ⁢ ω n + 1 ′ ⁢ ( z k ) ⁢ f k , subscript 𝑃 𝑛 𝑧 superscript subscript 𝑘 0 𝑛 subscript ℓ 𝑘 𝑧 subscript 𝑓 𝑘 superscript subscript 𝑘 0 𝑛 subscript 𝜔 𝑛 1 𝑧 𝑧 subscript 𝑧 𝑘 superscript subscript 𝜔 𝑛 1 ′ subscript 𝑧 𝑘 subscript 𝑓 𝑘 {\displaystyle{\displaystyle P_{n}(z)=\sum_{k=0}^{n}\ell_{k}(z)f_{k}=\sum_{k=0% }^{n}\frac{\omega_{n+1}(z)}{(z-z_{k})\omega_{n+1}^{\prime}(z_{k})}f_{k},}}
    0 references
    DLMF id
    DLMF:3.3.E1
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11160
    test
    ℓ k ⁢ ( z ) subscript ℓ 𝑘 𝑧 {\displaystyle{\displaystyle\ell_{k}(z)}}
    xml-id
    C3.S3.XMD1.m1dec
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    nodal polynomial (locally)
    test
    ω n + 1 ⁢ ( z ) subscript 𝜔 𝑛 1 𝑧 {\displaystyle{\displaystyle\omega_{n+1}(z)}}
    xml-id
    C3.S3.XMD2.m1dec
    0 references
     
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