DLMF:2.3.E18 (Q737)

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DLMF:2.3.E18
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    Statements

    Defining formula
    b s = 1 μ ⁢ res t = a ⁡ [ q ⁢ ( t ) ( p ⁢ ( t ) - p ⁢ ( a ) ) ( λ + s ) / μ ] , subscript 𝑏 𝑠 1 𝜇 subscript residue 𝑡 𝑎 delimited-[] 𝑞 𝑡 superscript 𝑝 𝑡 𝑝 𝑎 𝜆 𝑠 𝜇 {\displaystyle{\displaystyle b_{s}=\frac{1}{\mu}\Residue_{t=a}\left[\frac{q(t)% }{(p(t)-p(a))^{(\lambda+s)/\mu}}\right],}}
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    DLMF id
    DLMF:2.3.E18
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    comment
    Warning: Falling back to standard tex;
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    constraint
    s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}
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    Symbols used
    Q10960
    Defining formula
    res residue {\displaystyle{\displaystyle\Residue}}
    xml-id
    C1.S10.SS3.p5.m4adec
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    Q10956
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C2.S3.XMD15.m1cdec
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    Q10957
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C2.S3.XMD16.m1ddec
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    Q10958
    Defining formula
    p ⁢ ( t ) 𝑝 𝑡 {\displaystyle{\displaystyle p(t)}}
    xml-id
    C2.S3.XMD17.m1ddec
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    Q10959
    Defining formula
    q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    xml-id
    C2.S3.XMD19.m1ddec
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    Q10950
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C2.S3.XMD8.m1hdec
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    Q10951
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C2.S3.XMD9.m1hdec
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