DLMF:8.6.E7 (Q2521)

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DLMF:8.6.E7
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    Statements

    Defining formula
    Γ ⁡ ( a , z ) = z a ⁢ ∫ 0 ∞ exp ⁡ ( a ⁢ t - z ⁢ e t ) ⁢ d t , incomplete-Gamma 𝑎 𝑧 superscript 𝑧 𝑎 superscript subscript 0 𝑎 𝑡 𝑧 superscript 𝑒 𝑡 𝑡 {\displaystyle{\displaystyle\Gamma\left(a,z\right)=z^{a}\int_{0}^{\infty}\exp% \left(at-ze^{t}\right)\mathrm{d}t,}}
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    DLMF id
    DLMF:8.6.E7
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    constraint
    ℜ ⁡ z > 0 𝑧 0 {\displaystyle{\displaystyle\Re z>0}}
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