DLMF:8.22.E3 (Q2752)

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DLMF:8.22.E3
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    Statements

    Defining formula
    ζ x ⁢ ( s ) = ∑ k = 1 ∞ k - s ⁢ P ⁡ ( s , k ⁢ x ) , subscript 𝜁 𝑥 𝑠 superscript subscript 𝑘 1 superscript 𝑘 𝑠 incomplete-gamma-P 𝑠 𝑘 𝑥 {\displaystyle{\displaystyle\zeta_{x}(s)=\sum_{k=1}^{\infty}k^{-s}P\left(s,kx% \right),}}
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    DLMF id
    DLMF:8.22.E3
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    constraint
    ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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    Symbols used
    Q11325
    Defining formula
    P ⁡ ( a , z ) incomplete-gamma-P 𝑎 𝑧 {\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E4.m1adec
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