DLMF:25.14.E5 (Q7744)

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DLMF:25.14.E5
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    Statements

    Defining formula
    Φ ⁡ ( z , s , a ) = 1 Γ ⁡ ( s ) ⁢ ∫ 0 ∞ x s - 1 ⁢ e - a ⁢ x 1 - z ⁢ e - x ⁢ d x , Lerch-Phi 𝑧 𝑠 𝑎 1 Euler-Gamma 𝑠 superscript subscript 0 superscript 𝑥 𝑠 1 superscript 𝑒 𝑎 𝑥 1 𝑧 superscript 𝑒 𝑥 𝑥 {\displaystyle{\displaystyle\Phi\left(z,s,a\right)=\frac{1}{\Gamma\left(s% \right)}\int_{0}^{\infty}\frac{x^{s-1}e^{-ax}}{1-ze^{-x}}\mathrm{d}x,}}
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    DLMF id
    DLMF:25.14.E5
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