DLMF:18.30.E3 (Q6001)

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DLMF:18.30.E3
No description defined

    Statements

    Defining formula
    p n + 1 ⁢ ( x ; c ) = ( A n + c ⁢ x + B n + c ) ⁢ p n ⁢ ( x ; c ) - C n + c ⁢ p n - 1 ⁢ ( x ; c ) , subscript 𝑝 𝑛 1 𝑥 𝑐 subscript 𝐴 𝑛 𝑐 𝑥 subscript 𝐵 𝑛 𝑐 subscript 𝑝 𝑛 𝑥 𝑐 subscript 𝐶 𝑛 𝑐 subscript 𝑝 𝑛 1 𝑥 𝑐 {\displaystyle{\displaystyle p_{n+1}(x;c)=(A_{n+c}x+B_{n+c})p_{n}(x;c)-C_{n+c}% p_{n-1}(x;c),}}
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    DLMF id
    DLMF:18.30.E3
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}
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    Symbols used
    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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    Q11790
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S30.XMD1.m1adec
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    coefficient (locally)
    Defining formula
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C18.S9.XMD1.m1adec
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    coefficient (locally)
    Defining formula
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C18.S9.XMD2.m1dec
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    coefficient (locally)
    Defining formula
    C n subscript 𝐶 𝑛 {\displaystyle{\displaystyle C_{n}}}
    xml-id
    C18.S9.XMD3.m1adec
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