DLMF:18.22.E2 (Q5868)

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DLMF:18.22.E2
No description defined

    Statements

    Defining formula
    - x ⁢ p n ⁢ ( x ) = A n ⁢ p n + 1 ⁢ ( x ) - ( A n + C n ) ⁢ p n ⁢ ( x ) + C n ⁢ p n - 1 ⁢ ( x ) , 𝑥 subscript 𝑝 𝑛 𝑥 subscript 𝐴 𝑛 subscript 𝑝 𝑛 1 𝑥 subscript 𝐴 𝑛 subscript 𝐶 𝑛 subscript 𝑝 𝑛 𝑥 subscript 𝐶 𝑛 subscript 𝑝 𝑛 1 𝑥 {\displaystyle{\displaystyle-xp_{n}(x)=A_{n}p_{n+1}(x)-\left(A_{n}+C_{n}\right% )p_{n}(x)+C_{n}p_{n-1}(x),}}
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    DLMF id
    DLMF:18.22.E2
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1adec
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    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1adec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1adec
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    Q11770
    Defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C18.S22.XMD1.m1dec
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    Q11771
    Defining formula
    C n subscript 𝐶 𝑛 {\displaystyle{\displaystyle C_{n}}}
    xml-id
    C18.S22.XMD2.m1dec
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