DLMF:8.11.E19 (Q2592)

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DLMF:8.11.E19
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    Statements

    Defining formula
    d k ⁢ ( x ) = ( - 1 ) k ⁢ b k ⁢ ( x ) ( 1 - x ) 2 ⁢ k + 1 , subscript 𝑑 𝑘 𝑥 superscript 1 𝑘 subscript 𝑏 𝑘 𝑥 superscript 1 𝑥 2 𝑘 1 {\displaystyle{\displaystyle d_{k}(x)=\frac{(-1)^{k}b_{k}(x)}{(1-x)^{2k+1}},}}
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    DLMF id
    DLMF:8.11.E19
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 0 , 1 , 2 , … 𝑘 0 1 2 … {\displaystyle{\displaystyle k=0,1,2,\dots}}
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    Symbols used
    Q11332
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1hdec
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    Q11330
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1gdec
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    Q11345
    Defining formula
    b k ⁢ ( λ ) subscript 𝑏 𝑘 𝜆 {\displaystyle{\displaystyle b_{k}(\lambda)}}
    xml-id
    C8.S11.XMD4.m1ddec
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    Q11347
    Defining formula
    d k ⁢ ( x ) subscript 𝑑 𝑘 𝑥 {\displaystyle{\displaystyle d_{k}(x)}}
    xml-id
    C8.S11.XMD7.m1adec
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