DLMF:3.5.E18 (Q1256)

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DLMF:3.5.E18
No description defined

    Statements

    Defining formula
    w k = ∫ a b p n ⁢ ( x ) ( x - x k ) ⁢ p n ′ ⁢ ( x k ) ⁢ w ⁢ ( x ) ⁢ d x . subscript 𝑤 𝑘 superscript subscript 𝑎 𝑏 subscript 𝑝 𝑛 𝑥 𝑥 subscript 𝑥 𝑘 subscript superscript 𝑝 ′ 𝑛 subscript 𝑥 𝑘 𝑤 𝑥 𝑥 {\displaystyle{\displaystyle w_{k}=\int_{a}^{b}\frac{p_{n}(x)}{(x-x_{k})p^{% \mspace{1.0mu }\prime}_{n}(x_{k})}\,w(x)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:3.5.E18
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    Q11167
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C3.S5.XMD5.m1adec
    0 references
    Q11168
    Defining formula
    w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}}
    xml-id
    C3.S5.XMD6.m1bdec
    0 references
    Q11170
    Defining formula
    p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{n}}}
    xml-id
    C3.S5.XMD9.m1dec
    0 references
     
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